Math Smart - 7

2. Check My Understanding (Pg 252)
1. a)-2, 0,1,2
b) V
1 D
\ V = r +

? \
\
1 s.
\ E
n 5 - 4 -i - 2 - 1 (
1
/ 6 5 -4 - 3 -lA 1 0 ; n
h
G,
—2
It is an irregular pentagon
2. a)0, 1,2,4
b)
3. A (0,2) B (3.5) C (-2,3) D(3,-1)
E(-3.-1) F(4,3) G (-3,4) H(^,1) 1 y ~ x + 2
I (-2,-2) J (2,-3) K (^,-3) L(-1.-3)
M (3,^) N(-1,0)

4. a)B b)A c)F d)J e)H f)K
g)D h)M i)G j)C k)N l)R
m) L n) P o)S p)Q q)l r)E
6 -5 -4 -l/-2 -1 ^ > \
5. a) fourth quadrant b) first quadrant -■}
c) third quadrant d) second quadrant
e) fourth quadrant f) fourth quadrant 3. a) They are both linear and have the same gradient but
g) first quadrant h) third quadrant they cut different points on the graph
i) second quadrant j) second quadrant b) >'
k) third quadrant I) first quadrant ,
m) fourth quadrant n) third quadrant >" = A + 3
o) second quadrant p) fourth quadrant

6. a)i) (16,3)
ii) (13,13)
iii) (5.10)
Iv) (2,17)
V) (10,18)
6 5 4 3 2 1 i •
-
b) i) Bumper Boat Pond
ii) Thunder Ride
-3 ,-2,-1.0, 1 V
b)
Try and Apply (Pg 250)
1. Refer to part 2 for answers
2.
= X -1
/
-
- 5 - 5 4 - 3 - 2 - 0





_s

0

- 5 -4 -i -I - 5.
?

*■ X
-
-
-
6 - 5 - 4 3 2 1 0
3. The word "Hi" > = .v ■2

—5.

Try and Apply (Pg 253)
a) third from top d) 1) $24 ii)$18
b) fifth from top e)i)2.5h ii)5.25h
c) second from top 3. a)D = 4f
d) sixth from top b) 40. 80. 120, 160, 200
e) first from top c) Refer to part 'f
f) fourth from top d) D = 3f
Check My Understanding Pg 254)
Time (s) 10 20 30 40 50
1. a)
Distance (m) 30 60 90 120 150

.1 =2
Distance that Joanne and Laura jog
X •-1
200

6 -5 -4 -3 -2 - 1 I
g ISO
oanne

100

b)

X =-3 xU



Time (s)
g) Laura
6 -5 -4 - 5 -2 -1
Check My Understanding (Pg 261)
1. a) i) 400,600,800. 1000,1200
ii) Refer to part 'clii'
b) i) 200, 300, 400, 500, 600
= -5
11) Refer to part 'clii'
c) 1) It will be in between the express train and goods
Check My Understanding (Pg 257) train
1. a)$4 b)$3 c)$1,$2 d) $2, $6 ii) 300, 450, 600, 750, 900
iii)
2. a) W-4h
Distance travelled
b) 8, 12, 16, 20
c) Anita's wages Express Train:
24
1
1
rgsS-country
!
rain I
7-
i
^ 400
18
-4
1 t- Goods Train
IS
/
/-
12-
4^
f-
/
Time (h)
d) i) The faster the speed of the train, the steeper the
V f- incline of the graph
ii) It would be a straight line
2. a) 14:00 b) 12.5 km c) 20 min d)30km
Hours (h)

Answers

3. a) i) 10km 2. a) 7 b)17 C)1
ii) Refer to part'd' 3. a) 13 b)-2 c) -3
iii) Refer to part'd' 4. a) 60 b)30
b) Refer to part'd' 5. a) 80 Baht b)180 Baht
c) Refer to part'd' c) 2.50 Euros d) 5 Euros
d) 6. a) 15, 20, 25
Beth's journey
b)
1 Liana's wages
1
25
20
-
-
-
« 10 w 10
-


2 3
X ^ 1
!
Time (h)
1 in-^ft i 1n-- n 11:n 1 11 30 1
Time (h) 7. a)
a) 100 km, refer to part 'di' for graph
b) 1) 50 km
e) 20 km
11) 150 km
f) 11:34
iii) refer to part 'di'
iv) refer to part 'di'
Revision (Pg 264)
c) refer to part 'di'
d) i)
Pate! family's journey
/\
200
/ \
/ \
4 -i - 0
-
150
b) Rectangle
S 100



5 -4 - 5 - I - 0



Quadrilateral Time (h)
J k
ii) 50 km/h



Unit 12
- 5 -4 -5 - > - 5 0
Recall (Pg 269)
1. a) 52% b) 36%
2. a) 70% b) 68% 0) 25.5%
3. a) 55.6% b) 53.3% c) 67.2%
d) Trapezium
Check My Understanding (Pg 271)
1. a) 20% b)25% c) 50% d) 75%
\ 2. 13%
3. 30%
4. 75%

Check My Understanding (Pg 272)
1. al 29 c)
100
• 5 -t -5 -I -1 0
'"'is f A

2. a) 15% b)73% c)48% d) 72% e) 60% f) 80% d)25% e) 333.33...% f)125%
3. a) There should be 2 cylinders labelled
Check My Understanding (Pg 273) b) 25% c) 75% d)
1. a) 25% b)45% c) 50% d) 70%
4. a) 44.44..,% b) 55.55...%
6) 7% f) 9% g)40% h) 37.5%
2. a) 0.3 b)0.42 0) 0.8 d) 0.03 5. a) 50% b) 50% c) 30% d) 40% e) 50%
e)0.08 f)0.12 9)0.67 h) 0.175
Revision (Pg 282)
3.
1. 1)I) a) 52% b) 48%
Fraction Decimal Percentage II) a) 64% b) 36%
iii) a) 48% b) 52%
0.05 5%
20 iv) a) 24% b) 76%
2. a) 3 b)3 c)7 d) 18
0.1 10%
10 3. b)LLl c)33 d)i
' 'so
100
1
0.2 20%
5 e)4 q) 1 -L h)ll
20
1
0.25 25% 116
4 j)2g
25
7
0.35 35%
20 a) 0.3 b)0.68 c)2.09 d) 30.12
a) 90% b)52% c)40% d)85% e)75%
2
0.4 40%
5 f) 94% g) 70% h)80% 1)40% j)20%
1 k) 87.5% 1)57.14...%
0.5 50%
2 m) 216.66...% n) 141.66...%
3 a) 5% b) 67% c)146% d) 330%
0.75 75%
4 40%
a) 35% b)15% c) 50% d) 70%
Check My Understanding (Pg 275) a) Mathematics b) 80%
1. a) 95% b)3Z 0) 0.12 10. a) 10 m b) 3 kg c) 18 min d)720 kg
50
' 11. a) 40% b) 12
2. a) A, 38%. 0.41 b)84%.g.2 0.91
12.1 of 49
0) 26.8%, 2.26, 21, 2.62, 271% 13. 12%
3.0.37 ^ 14. a) 2.4 km b) 34% c) 377 I d) 295.2kg
4. I of 75 m e)13.5 0168
15. 99
5. Yes, he passed his goal by 4 marks as he achieved an 16. 169
84% on the test 17. 7820 Baht
6. a) Dolphin, Rabbit, Lion, Squirrel, Tiger 18. -$30
b) I 19. 52 cm
c) At the very bottom
7. 50% Unit 13
8. 72
9. 48%, there are ore giris than boys Recall (Pg 287)
1. a) 4, 8, 9 b)2 : 3 c) d)ll
Recall (Pg 276) 2. a)4:5 b) 5 : 4
1. a) 121.5 b) 77.76 c) 450 d)48.1
2. $1128 Check My Understanding (Pg 288)
1. a)3:2 b)f
Check My Understanding (Pg 279)
1. a) $15 b)$18 c)$20 d)$48 e)$18 f) 2. a) 3 : 5 b)5;8
2. a) 140 cm b) 3 kg c) 36 g d) 1 I 3. a)5 ;4 b)4 : 9
e) 256 m f) 45 min 4. a)2:3:2 b)i
3. 10
5. a)5;4;2
4. 6000
5. 405 kg 6. a)| b) 5 : 3
6. a) 60 b)180
7. 4 : 3
7. 80
8. 2 : 3
8. 448 km
9.20
Check My Understanding (Pg 290)
1. 16
Check My Understanding (Pg 281)
2. 10 coffee and 15 milk
1. a) 70% b)84% c) 66.66...% d) 0.533...%
3. 10 syrup and 25 fruit juice
2. a) 80% b)75% c) 12.5%
4. 2100 ml
B Answers

5. 10:6:1 Try and Apply (Pg 301)
6. a)3:2 b)1 c)1 16 d)6:5 e)3:4 f)7 : 3 lESand DC
9)1 : 1 h)7 i)2: 1 j)7:4 k)2;3 I) 5:11 2. BAand £C, AC and ED
m)4:3 n)8 o) 4 3 p) 5 : 87. a) 7 : 5 b)5:7
8. a) 3 : 8 b)4 c)6 7 d)9:5 Check My Understanding (Pg 303)
1. Draw a line that is parallel to AB and 4cm away from AS
Check My Understanding (Pg 292) and label it PQ.
1. Asyraff 2. Draw a line that is parallel to CD and cuts through point
2. Lily gets ~ and Chloe gets | Yand label itXZ.
3. a) Draw on line MN and line OP
3. a) $34 and $51 b) $40 and $10 b) Draw □_ at the intersection of line MN and line QR.
c) $150 and $60 d) 16 kg and 56 kg c) 6 mm
e) 36 and 6 f) 16 and 36 d) Confirm that the angle at the intersection between line
g) $90 and $9 h)$120 and $$280 OP and QR is 90° using a protractor.
i) $14.40 and $9.60 4. a) Draw a line and label it EF. Then draw a line that is
4. 45 white orchids, 180 pink orchids perpendicular to EF and label It GH.
b) Draw a line that is 60 mm long and label it JK. Then
5. 45 blue sweets
6. Iris gets 1.41 and Ryan gets 0.6/ draw a line that is perpendicular to JK and 55 mm
7. a) Ryan gets $480 and Benjamin gets $800 long and label it GH.
b)$1280 c) Draw a line and label it UV. Then draw a line that is
parallel to UV and label It WX.
8. 3 : 19
9. 35 d) Draw a line that is 50 mm long and label it MN. Then
draw a line 30 mm away from line MN and 50 mm
Recall (Pg 293) long and label it OP.
a)6,12, 15 b)3:5 c)1f d)2160
Check My Understanding (Pg 305)
Check My Understanding (Pg 294) Draw squares that measure 4.7 cm by 4.7 cm, 3.5 cm by
1. 8)5:2 b)3: 1 3.5 cm and 5.4 cm by 5.4 cm.
c) No, Sarah mixed it flour and sugar in the ratio 5 : 2
:
while Valerie did it in a 3 1 ratio Check My Understanding (Pg 307)
1. Draw a rectangle that measures 3.6 cm by 4.5 cm.
Check My Understanding (Pg 296) 2. Draw a rectangle that measures 11 cm by 5.2 cm.
1. 64 000 3. Draw a rectangle that measures 8 cm by 6 cm.
2. a)$26 b) $71.50 AC = 10 cm
3. a) $4.45 b) $10.68 c) $22.25 4. Draw a rectangle that is 3 cm by 4 cm.
4. a)252g b)126g c) 1008 g
5. $70.08 Check My Understanding (Pg 312)
6. a) 140 g b) 1120 g 1. Draw triangles that have the same sides and angle as
7. a) 1 : 6 b)480 ml stated
8. 8656 Pesos 2. a) Draw a right-angle triangle with a 8 cm base and
9. a) $78.40 b)660 Rands height of 6 cm.
b) 10 cm
Revision (Pg 297) c) 37°
1. 6 glasses of Orange Squash and 18 glasses of Water 3. Draw a right-angle triangle with a 5.5 cm base (PQ) and
2. 6 bowls of Fish Stock and 15 bowls of Water height {QR) of 3.5 cm.
4. Draw a right-angle triangle with a 4.5 cm base (YX) and
3. 1000
4. a)1 :6 b)4:7 c)6:5 d)3:4 height (YZ) of 7 cm.
e) 25 : 6 f) 4 : 9 5. Draw a triangle that has sides of 4.5 cm where each
5. a)7:1 b)1 : 15 c) 1 : 16 interior angle is 60° and label it ABC.
6. a) 70 and 210 b) 100 and 25 6. Draw a triangle that has sides of 7 cm where each
c) $225 and $90 d) $480 and $840 interior angle is 60° and label it JKL
7. Draw a triangle that has a base (QR) that is 9 cm long
7. 20 080
8. a) $27.12 b)$6.78 and two sides that are of equal length and label it PQR.
9. a)2 : 1 b) 150 g The angles in the triangle should measure 50°, 50° and
c) 75 g of Flour, Half a Pinch of Salt, 80°.
37.5 g of Butter, 22.5 ml of Water 8. Draw a triangle that has a base (JK) that is 7 cm long
d) 375 g of Flour, Pinch of Salt, and two sides that are of equal length and label it JKL.
187.5 g of Butter, 112.5 ml of water The angles in the triangle should measure 70°, 70° and
10. a)14 b) 3 : 5 40°.
9. Draw a triangle that has sides of 6.5 cm where each
11. 144c m^
interior angle is 60°.
Unit 14
Check My Understanding (Pg 316)
Recall (Pg 300) 1. Draw a parallelogram with measurements 6 cm by 5 cm
1. a) JE, CG b) IF, CO c) IF, JE where the interior angles are 130°, 50°, 130° and 50° and
2. Draw lines that are of the stated lengths label it.

2. Draw a trapezium where the height is 3 cm, PQ is 7 cm 9. a) 300 b) 180 c) 30 d) 12 e) 15 f)6
and RS is 3.1 cm and the interior angies are 60", 120°, 9)15 h) 108 1)48 j)450 k) 270 I) 240
55° and 125°. Label the trapezium.
3. Draw a rhombus where the diagonals are 9 cm and 5 cm Check My Understanding (Pg 330)
each and label it. 1. a) 1 h and 26 min
b) 17 h and 8 min
Check My Understanding (Pg 318) c) 6 h 21 min
1. Draw polygons of the stated sides and interior angles. 2. 2 h and 24 min
2. Draw a parallelogram with measurements 8.5 cm by 3. 8 h and 10 min
6.5 cm. The interior angles are 65°, 115°, 65° and 115°. 4. 18:15
Label the parallelogram ABCD. 5. 07:40
3. Draw a rhombus with sides of 5.7cm. The interior angles
are 76°, 104°, 76° and 104°. Label the rhombus WXYZ. Check My Understanding (Pg 332)
a)
4. Draw a hexagon with sides that are 48 mm long. 1. a)20 min
A hexagon is drawn. b) 1 h 20 min
5. Draw a hexagon with sides that are 58 mm long. c) The one that departs at 11:15
d) 45 min
Revision (Pg 319) e)2
1. Draw lines that are of the stated length. f)3
2. Draw a line that is parallel to XV and cuts through point 2. a) 20:00
S. Label this line RT. b) 19:12
3. Draw triangles that are of the stated length and angles. c) No, it is delayed
4. a) Label the intersections between AB and GH, AB and d) It is cancelled
IJ, CD and GH and CD and IJ as the parallelogram e)2 h
PQRS. f) The Milan flight arrives 1 min before the Shanghai
b) 6.5 cm, 6.5 cm, 6.4 cm flight
5. Draw a right-angle triangle with a base (QR) 7.2 cm g) it departs 10 min earlier
long and height (PQ) that is 5 cm long. Label the
triangle PQR. Recall (Pg 333)
6. Draw a triangle that has the stated angies and length. 1. a) 5 m^ b) 9 cm^
7. Draw a square of sides 8 cm. Draw an isosceles triangle 2. 8 m
on one side of the square with the two sides measuring 3. 135 m^
5.6 cm. Label the drawing the same as the given 4. 48 cm
diagram.
8. Draw a trapezium that has the stated angies and base Check My Understanding (Pg 335)
of 9 cm and a height of 5 cm. Label the trapezium 1. a) 34 cm, 60 cm^ b) 2400 cm. 2700 cm^
respectively. c) 92 mm, 529 mm^ d) 380 mm, 8400 mm'
9. Draw a trapezium with a 9 cm long base (KL) and a 7 cm e) 24 cm, 32 cm^
long line (NM) that is parallel to KL and 5 cm away from a) 28 m b)60cm
KL. The trapezium should be symmetrical along the line a) 78 cm b) 58 cm
that runs through the center of the trapezium.
10. Draw the net diagram consisting of a pentagon and 5 Check My Understanding (Pg 338)
1. a) 184.5 cm' b) 900 m^
triangles.
2. a) 588 cm^ b)2025 m^
3. a) 10 units^ b) 16 units^
Unit 15 4. a)180 m^ b) 49 m^
5. a) 17 cm b) 9 cm
Recall (Pg 325)
6. a) 9 m b)8cm c)12mm
1. 5:13 7. a) Answers are correct if the length of the rectangles
2. 1 Week and 2 Days
when multiplied with the breadth gives ^2cm'
3. a) 04:00 b)10:25 c) 23:12 b) Answers are correct if the length and breadth of the
4. a) 12:45 a.m. b) 9:00 a.m. c) 4:39 p.m. rectangles when added up together and multiplied
5. 4:15 p.m. with 2 gives 30 cm'
a) 3024 cm'
Check My Understanding (Pg 327)
b) 1984 cm'
1. a) 01:00 b) 07:00 c) 16:00 d) 22:00 c) 1040 cm'
2. 8)02:45 b) 11:23 c) 14:05 d) 23:59 d)228 cm
3. a) 9 h and 30 min b) 5 h and 50 min
e) 188 cm
c) 3 h and 45 min d)6 h and 15 min
4. a) 360 min b) 195 min c) 560 min d) 10 min Try and Apply (Pg 339)
5. a) 480 s b)444s c) 1802 s a) i) 1600 m ii) 1600 m
6.4h b) area, larger, square
7.5 h and 50 min
8.8 min and 40 s



Answers

Check My Understanding (Pg 341) Check My Understanding (Pg 353)
1. a) 1900 mm' b) 27 000 mm^ 0) 860 000 mm' 1. a) 112 cm'
d) 46 000 cm' e) 150 000 cm^ f) 2 300 000 cm' b) 36 cm' c) 5400 m'
g) 84.6 cm' h) 5 cm^ 1) 0.64 cm' 2. a) 132 m' b) 9600 mm' c) 208 cm'
j) 10 m' k) 35 I) 0.74 m' d) 77 cm' e) 44 080 cm' f) 94 cm'
m) 0.00091 m' n) 0.004881 o) 2.16 m' 3. a) 236 cm' b) 23 600 mm' c) 158cm'
2. a) 11 250 mm' b) 112.5 cm^ c) 450 mm 4. 208 cm'
d) 45 cm 5. 40 m'
3. 1 690 000 cm' Revision (Pg 355)
4. 0.0126 m'
1. a) 5:21 p.m.,17:21 b) 6:19 a.m., 06:19
5. 625 cm' 2. a) 600 b)638 c) 12900 d) 30
6. 7000 cm h) 3.5
e)2880 f)1068 g)2123
1) 10.25
Check My Understanding (Pg 343)
3. a) 1)08:35 ii) 07:25
1.372 cm'
b) 08:10,08:25
2. 50 cm'
c) 07:45
3. a) 6 cm, 3 cm, 34 cm, 52 cm'
d) i) 1 h and 30 min ii) 30 min iii) 35 min
b) 8 cm, 3 cm, 26 cm, 25 cm'
e) 30 min
c) 3 m, 1 m, 26 m, 27 m'
f) 07:50
4. a) 42 cm, 86 cm' b) 38 cm, 70 cm' c) 38 cm, 72 cm'
4. a) 920 000 cm' b) 70 cm' c) 3.5 m'
d) 36 cm, 60 cm'
e) 30 cm, 44 cm' d) 0.15 m' e) 105 mm'
5. a) 1312 mm'b) 13.12 cm'c) 146 mm d) 14.6 cm
f) 76 cm, 132 m'
6. a) 24 m b) 12 m c) 35 m' d) 26 m'
5. Perimeter = 36 cm, 55 cm'
7. a) 70 300 m' b) 88.08 m'
Try and Apply (Pg 344) 8. h = 1 cm, g = 2 cm. Perimeter - 28 cm, Area = 43 cm'
1. Length - 22 cm, Breadth - 16 cm 9. Perimeter - 90 m. Area = 180 m'
10.a)27mm3 b) 288 m' c) 24 cm^
2. 76 cm
d) 616 in' e) 384 mm' f) 253.125 cm'
3. 352 cm'
g) 240 cm' h) 765 cm'
4. 236 cm'
11.1.2
5. 118 000 cm'
6. Yes, the area of 500 small pieces of cardboard is 17.6 m' 12.560
which is enough to cover the 16.7 m' area 13. a) Surface Area = 62 cm', Volume - 30 cm'
b) Surface Area = 61.44 cm'. Volume = 32.768 cm'
Try and Apply (Pg 346) 14. a) 2400 mm b) 12 000 cm' c) 0.72 m'
125 unit cubes d) 5.52 m' e) 5.16 m' f) 3 h and 35 min
Try and Apply (Pg 348)
a) Accept any length, breadth and height that 'when multi Unit 16
plied gives 48 cm^ Recall (Pg 362)
b) This is not possible as 23 Is a prime number thus it is
not possible to form a cuboid with this number of blocks (-1.-1)
Try and Apply (Pg 365)
Check My Understanding (Pg 348)
108°
1. 7 m^
2. 360 cm3 Check My Understanding (Pg 365)
3. 512 cm^ 1.C 2.A 3.8
4. 3000 cm^
5. 616cm3 Check My Understanding (Pg 368)
1. X' (-5,-1), Y' (-3,3), Z' (^,-6)
6. 2744 cm3
7. 4800 cm3 2. W (1,-3), X' (3,-3), Y' (2,-5), Z' (0,-5)
8. 84 cm^ 3. a) E' (-3,1), F' (-1,1), G' (0,0), H' (0,-1), I' (-3,-1)
9. a) 770 m^' b) 60 m= b) M' (3,1), N' (5.0), O' (5,-1), P' (3,-1)
10. 288 cm^ c) P' (-3,1), Q' (-1,2), R' (1,1), S'(0,1), V (0,0), U'
11. 3 cm (-2,0), V (-2,1)
4. a) Move object 5 units to the left and 6 units down.
Check My Understanding (Pg 350) b) Move object 5 units to the left and 6 units up.
1. a = 2, b = 4, c = 4.5, d - 0.5 c) Move object 6 units to the right and 4 units up.
5. a) Rectangle L'M'N'O' is drawn with the coordinates
Recall (Pg 351)
given in the diagram and rectangle UMNO is drawn
a) Square b) Hexagonal Prism
with the coordinates given in part 'b'. Axes are
to be labeled correctly,
Try and Apply (Pg 352)
b) L (2,-1), M (4,-1), N (4,-2), O (2,-2)
1. Correct if the length of the different sides of the cuboid
adds up to the given lengths 6. Q' (-3,10)

Check My Understanding (Pg 372) translation. Therefore, a combination of reflection and
1. D' M-3), E' (3,-3), F' (3,-1), G' (-2,-1), H' (-3,0) translation is used to move triangle 1 to fit exactly
2. a).v-axis b) v-axis c).v-axis d) v-axis onto triangle 5.
3. Show the objects reflected across the line. c) Triangle 1 can be fit into triangle 7 using translation.
4. 1) Image drawn: Triangle 7 can then be fit into triangle 6 using
E' (1,^), F' (3,-4), G' (4,-3), H' (4,-2), I' (1,-2) reflection. Another method would be to fit triangle
11) Image drawn: 1 into triangle 4 using reflection and then fitting
M' (-4,-2), N' (-2,-1), O' (-2,0), P' (-4,0) triangle 4 into triangle 6 using translation.
ill) Image drawn:
P' (5,-4), Q' (3,-3), R' (1,-4), S' (2,-4), T (2,-5), Revision (Pg 381)
U' (4,-5), V" (4,-4) 1. a) P' (-3,4), Q' (-2,2), R' (^.1), S' (-5,3)
iv) image drawn: b) D' (3.0), E' (-2,-2), P (-4,0), G' (-2,3)
Q' (4,3), R' (2,3), S' (2,5), T' (3,5), U' (3,4), V (4,4) 2. a) Image drawn and labeled at the following coordinates,
5. a) 1) Line of reflection drawn along v-axis. A'(0,1), B'(3.5), C'(4.1)
ii) Line of reflection drawn along .v-axis. b) Image drawn and labeled at the following coordinates,
ill) Line of reflection drawn along x-axis. A' (-5,-2), B' (-3,-3), C (-5,-5), D' (-4,-5), E' (-5,-6),
b) i) Reflected along the v-axis. F' (-7,-4)
ii) Reflected along the-V-axis. 3. Image drawn and labeled at the following coordinates,
iii) Reflected along the .v-axis. D' (3,2), E' (0,4), P (0,1)
6. a) Object drawn at the coordinates from part 'b' 4. a) Image drawn at the coordinates from part 'b'
b)L(4.4), M (2,4), N (2,3), 0(4,3) b)H'(-3,2), P (-5.1), U' (-5,4)
c) L" (^,^). M" (-2,-4), N" (-2,-3), O" (-4,-3) 5. a) Triangle
7. Q' (2.-4) b) Image drawn at the coordinates from part 'c'
8. a) Plot a triangle at the given coordinates. c) S' (-3,1), V (0,2), G' (0,5)
b) Draw the graph of v = -1 6. a) Rotate triangle A 90° clockwise about point P.
c) Image drawn and labeled at the following coordinates, b) Rotate triangle A 180° clockwise about point T.
M' (-4,-6), N' (-3,^), O' (-5,^) c) Rotate triangle B 180° clockwise about point 0.
d) Image drawn and labeled at the following coordinates d) Rotate triangle C 90° clockwise about point R.
M" (8,4), N" (7,2), O" (9,2) 7. Draw the polygon PQRS at the given coordinates
9. a) Plot a triangle at the given coordinates. a) Draw the graph of v = .v
b) Draw the graph of b) Image drawn and labeled at the following coordinates,
c) Image drawn and labeled at the following coordinates P' (3,-3), Q' (3,-1), R' (1,-2), S' (1,^)
A' (-1,2), B' (-3,3), C (-3,0)
Unit 17
Check My Understanding (Pg 377)
1. a) Rotate the triangle 180° about point A. Recall (Pg 386)
b) Rotate the square 90° anti-clockwise about point B, Mean: 28.25
c) Rotate the shape 180° about point C. Median: 30.5
2. a) Rotate the shape 180° about point X. Mode: 32
b) Rotate the shape 90° anti-clockwise about point X. Range: 36
c) Rotate the shape 90° about point X.
Check My Understanding (Pg 389)
Check My Understanding (Pg 380) 1. a)4 b)13.5 c)6
1. I) Image drawn and labeled at the following coordinates 2. 36.5
B'(1,5), P (3,1), H'(-2,1), M' (-2,4)
ii) Image drawn and labeled at the following coordinates Check My Understanding (Pg 390)
B' (-5,4), L' (0,5), S' (-2,2) 1. 4.5 h
iii) Image drawn and labeled at the following 2. 13
3. $2
coordinates. H' (3,5), J' (5,3), Q' (0,1)
2. a) Draw the shape at the stated coordinates.
Check My Understanding (Pg 391)
b) Quadrilateral
c) Image drawn at the coordinates from part'd' 1. Mean: 67.48 Mode: 71 Median: 71 Range: 62
d) U' (-2,-1), W (2,0), K' (2,-3), G' (-3,-3) 2. Mean: 47,2 Mode: 46 Median: 46.0 Range: 51
3. a) 413kg b) 57.9kg
3. a) i) false ii) false (iii) false iv)true
b) Image N"R"E"Q" drawn and labeled at the following 4. 8)28 b) 27.82 c)29.5 d)27
e) Since the mean takes the average age, a younger
coordinates, Q" (0,-5), N" (-4,-5), R" (-3,-1)
age would result in a lower mean whilst an older age
E" (0.-2)
would result In a higher mean.
Try and Apply (Pg 381) 5. Criteria 1 = Dataset 3 Criteria 2 = Dataset 5
1. a) Reflection, Translation, Rotation Criteria 3 = Dataset 1 Criteria 4 = Dataset 2
b) It is not possible to do it in one transformation, Criteria 5 = Dataset 4
Triangle 1 can fit onto triangle 2 using reflection. 6. 11
Triangle 2 can then be fit onot triangle 5 using

Check My Understanding (Pg 394) e) Mathematics f)1
1. a)20 b) 10-19 Strawberries c)15.5 2. a) $3200 b) Sizzling Steaks
2. a) 11 c) DIY Homefix and FF Fashion
3. a) 123 b) Between 0 and 10 c) 29.07 min d) $900 e) Babyland f) Value Shop
4. a) Between 500 and 1000 b) 86 c)1011.63 g) Value Shop as it seems to be the most popular
company
Check My Understanding (Pg 398)
1. a) For A, Mean is 147.4, Median is 144, Mode Is none Check My Understanding (Pg 406)
and Range is 55. For B, Mean is 161, Median is 161, 3) Number of whales sighted
Mode is none and Range is 43 20 H
b) Median as the range is too iarge, which means there
10-
are outliers
c) Both Mean and Median is ok as they are both the 0-J 1
same 0-10 11-20 21-30 31-40 41-50
d) Median S Number of whales sighted

Recall (Pg 399) b) 13 c) 20 d) 25.93% 0)615
Schools Number of Buses
Check My Understanding (Pg 410)
RE School SBWW 1. a) Body Part
Artistic School mm n Muscle
Music Academy nnoQW 20 n Fat
n Bone
School of Academics mmm
Other
Awesome School
Total: 80
b)i)| ii) 17.5%
Each W represents 2 buses
2. a) Water Usage in Litres
Check My Understanding (Pg 401)
900 n Shower
1. a)
400. n Toilet
Day Number of Cars Sold
, 3000 n Leaks
Monday Washing
Tuesday n Cooking
Wednesday 1620 n Other
Total: 7240
Thursday
b) Shower c) 4.42% d) Fix their leaks
Friday
3. a) 36 b) 15 c) 20% d) 30
Saturday m. / i\ / 'n f i\. e) 5 less youths indicated Yellow Dragons than Super
/ 1
Spurs
Each W represents 5 cars sold f) 10% g) Super Spurs
bi)185 ii) Saturday iii) Monday iv) 15
2. a) 60 b)70 c)12 d)10 e) 15 Revision (Pg 412)
f) Both 13 and 14 g)18 h) 25 1. 19
2. a) 40 b) No Mode c) 36.7 (1 d.p.)
i) Draw half a boy symbol under the number of youths
d)32 e)35 f) 40.8 (1 d.p.)
for age 14
3. Answers may vary. 23, 24, 25, 26, 27
Check My Understanding (Pg 405) 4. Answers may vary. 10, 10, 20, 0
5. a)
1. a)
Number of Teachers Score Frequency
10- 20 < X < 40 II
8-
40 < X < 60 III
6-
4-1 1 60 < X < 80 IIH III!
TtttTttT
2- m
0 80<x< 100
& s
*^2 := O O S b) 25% c) 10% d) 60 < X < 80
mo

2 ^ V c «-
ca 6. a)
Score Frequency
m Number of Teachers 80 < X < 90 1
90 <x < 100 1
b) 35 c) 3 d) Accountancy 100<x < 110 1

110<x< 120 3
Unit 18
120 <x< 130 2
Recall (Pg 417)
130<x< 140 3
a) Equally likely b) Unlikely c) Equally likely d) Certain
140 <x< 150 1
150<x< 160 3
Check My Understanding (Pg 418)
160 <x< 170 1
1. a) false. The sock is most likely pink.
170 <x< 180 1 b) false. The sock is never green.
c) true
b) 110 < X < 120 and 130 < x < 140 and 150 < x < 160
d) false. The sock is more likely to be yellow than blue.
c)2
e) true
d) 29.41%
2. a) 1 out of 6 b) 1 out of 6 c) 1 out of 6
e) The data is quite evenly distributed across a wide
d) 1 out of 6 e) 1 out of 6 f) 1 out of 6
range as the median is around the middle of the
range
Check My Understanding (Pg 420)
7. Yes
a) impossible b) Unlikely c) Certain
8. a) Mean as the data does not have huge outliers d) impossible e) Certain f) Likely
b) Median as the data Is spread Inconsistently g) Certain h) Equally likely i) Unlikely
c) Mean as the data does not have much spread
j) Certain
9. a) $34714.28
b)$27000 Check My Understanding (Pg 421)
c) The Median as there is an outlier that skews the
1. A
mean by an amount
10. a) Week 1 b) 28 c) 24
d) Draw 3 large squares and 3 small squares I ^ ^ ^ ^ 1
11, a) Draw a histogram as it allows the frequency to be 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
displayed in a manner where it is easy to read
Age in Years 2. a) F b) D c) A d) E e) D f) C
Elephant (0.12)
Lion (0.06) Antelope (0.58)
I ' I I I
0 0.1 2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Zebra (0.19)
Crocodile (0.05)
30-40 40-50 50-60 60-70 70-80 80-90 b) Antelope c) Crocodile
b)40 c)6 d) 60 < X < 70
e) 2 f) 80 < X < 90 Check My Understanding (Pg 423)
g) People do not usually live to that age and thus since 1. a 1)50% 11)100% iii)25% iv) 12.5%
there are fewer people at that age, there is naturally
even fewer people at that age who attends Bingo
b)
games 0% 50%
12. a) 100%
I—I—I—I—I—I I I ' I ' l l I I I I
Ice
Sport Rugby Football Cricket Squash t t
Hockey
Pink Green Yellow Colour
Frequency 75 90 45 60 30
2. a) 0.1 b) 0.2 c) 0.4

b) Sports JL
17
1 Rugby
a) i) 0.833% ii) 10% iii) 16.7%
i Football b) The probability increases.
I Cricket
Check My Understanding (Pg 425)
Ice Hockey
a) Mutually exclusive
I Squash
b) Mutually exclusive
c) 25% c) Mutually exclusive
d) i) The bar chart d) i) Not mutually exclusive ii)Mutually exclusive
ii) It is easy to derive the difference of different data iii) Mutually exclusive iv) Not mutually exclusive
sets just by looking at the chart




Answers

Check My Understanding (Pg 426) coin landing on tails. If there were more experimental
1. a) data, the probability of both will be almost the same.
(Accept any other possible answers)
4-sided die 3. a) 200
b) 54%
c) Green is the least bought colour. Only 7 green cars
b 1,2. 3. 4 were sold out of 200 cars. Therefore, green is the
iii)0 least likely to be bought by the a customer.
Yellow
2. a Revision (Pg 432)
1. a) Impossible
b) Certain
c) Unlikely, Likely, Impossible
b) Yellow, Blue, Pink
c)i
2.
3. a) Hot chocolate
0% 50% 100%
Name picked J_L I I I I I I I ' I I I I ^ \ L
t t
Cappuccino Tea Coffee Colour
b) 14 c) 12 d)13 a) Coffee
b) Cappuccino
e) If Patty decides to give her ticket movie ticket to Lee, 2^ Coffee
c)
Lee has the best chance to watch the movie.
Tea
Drink picked
Recall (Pg 427) Hot chocolate
1. Experimental probability is 0.7. Theoretical probability is
^Cappuccino
0.5.
2. Experimental probability Is 0.6. Theoretical probability is c) 0.2
3. a) 0.2 b) 0.2
0.167.
4. a)
Check My Understanding (Pg 429)
1. a) Probability of landing on red is 15, green is 15, blue
Score
is 15, yellow is 15, pink is 15.
b) Probability of landing on red is 325, green is 310 ,
blue is 425, yellow is 1150, pink is 15.
b)1 c) 0.5
c) i) Green 11) Red
5. a) 0.04 b) 0.85 c) 0.11
2. a) Probability of knocking over 1 pin Is 12, 2 pins is 14,
3 pins is 18, 4 pins is 116, 5 pins is 132 , 6 pins is
164, 7 pins is 1128, 8 pins is 1256, 9 pins is 1512
,
10 pins is 11024.
b) Probability of knocking over 1 pin is 0, 2 pins is 125,
3 pins is 110, 4 pins is 750, 5 pins is 125, 6 pins is
225, 7 pins is 425, 8 pins is 325, 9 pins is 1150, 10
pins is 110.
c) 9, 1
d) Theoretical probability assumes all is fair and
equal chances of an event happening. However,
experimental probability can be affected by many
other factors like the skill of the person, the
environment and pure luck. (Accept other possible
answers).
3. 45 times
Check My Understanding (Pg 431)
1. Probability that the spinner lands on red Is 0.2, on green
is 0.17, on pink is 0.1, on blue is 0.35, on orange is 0.18.
2. a) 0.4
b) 0.6
c) This is a fair coin because the probabiliy of the coin
landing on heads is similar to the probability of the

VOCABULARY LIST


Unit1 Negative number: A number that is smaller Commutative property: Two numbers
Ascending order: Arrange from lowest to than zero can be added or multiplied in either order;
highest or smallest to greatest Number line: A horizontal or vertical line on changing the order of the operators does not
Composite number: A number with more which whole numbers, decimals and fractions change the result, for example, a x h = h x a
than two factors; It is the opposite of a prime are marked at intervals Decimal point: A dot used to separate the
number Positive number: A number that Is greater whole number part from the fractional part of
Descending order: Arrange from highest to than zero a number
lowest or greatest to smallest Whole numbers: The number zero and all Decimal system: A Base-10 number system
Dividend: The number that is being divided positive numbers that uses ten digits to represent all numbers,
by another number using place value, a decimal point to separate
whole numbers from decimal fractions
Divisibility test: A rule for determining Unit 3
whether one whole number is divisible by Algebra: A branch of mathematics that Decimals: Numbers that are written using a
another whole number, known as the divisor, represents variables using letters and decimal point to indicate the fractional portion
by examining the digits of the dividend. symbols of the number
Expanded form: A number shown as the sum
Divisor; The number that divides another Algebraic equation: A mathematical
of the values of its digits
number statement that Includes variables, constants,
Factor Tree: A method used to find the prime operation signs, brackets and an equal sign Place value: The value of a digit according to
factors of a number using diagrams to show that the expression on the left-hand its place in the number
Factor: A number when multiplied with side equals to the expression on the right- Rounding: Making an approximation of a
another gives another number, for example, 2 hand side number, given a specific accuracy to round to
X 3 = 6 so 2 is a factor of 6 Algebraic expression: One or a group Undefined: A mathematical result that has no
Highest Common Factor (HCF): The of terms made up of variables, constants, meaning
greatest number that divides exactly two or operation signs and can include brackets; it
has no equal sign
more numbers Unit 5
Inverse operation: Opposite operation, the Coefficient: A number that multiplies the Convert: Change something into a different
operation that reverses the effect of another variable: it is the numerical part of a term, form, in this case, changing the units of
usually written before the variable
operation measurement
Lowest Common Multiple (LCM): The Constant: A quantity of a fixed value written Estimate: The rough calculation of something
smallest number (not zero) that is a multiple as a number; it does not vary in value
Interval: Numbers between two given
of two or more numbers Evaluate: Substitute the value{s) given
numbers
Multiple: A number that we get after for each variable to find the value(s) of an Metric system: An international decimal
multiplying the number by a positive whole expression
system of weights and measures, based on
number, for example, 2x3 = 6 so 6 Is a Expand: Multiply each term inside a pair of
the 7 base units: metre, kilogram, second,
multiple of 6 brackets by the term outside the bracket
ampere, Kelvin, mole and candela
Prime number: A natural number with only Formula: A mathematical statement that
Odometer: An instrument for measuring
two factors, 1 and the number itself describes a relationship between two or more
distance travelled
quantities
Product; The result obtained when two or
Pedometer: An instrument for measuring
more numbers are multiplied Function: The relationship between two
distance travelled by foot by recording the
Sieve of Eratosthenes: A method of finding variables in which each value of the first number of steps taken
prime numbers variable corresponds to exactly one value of
Prefix: Letters added to the beginning of a
the other variable in the statement
Square number: The product obtained when word to indicate the size of a unit with respect
a whole number is multiplied by itself Like terms: Terms that have the same to the base unit
variable part but can have different
Square root: A value that can be multiplied Speedometer: An instrument for indicating
coefficients
by itself to give that certain number how fast a vehicle is moving
Mapping diagram: A diagram that shows the
input and output values of a function
Unit 2 Unit 6
Simplify: Group like terms
Additive inverse: The number added to, or Acute angle: An angle that measures less
Term: One part of an expression which can
subtracted from, another number to get an than 90°
be a number, a variable or a product of both
answer of zero (0)
Adjacent angles: Angles that have a
Unlike terms: Terms that do not have the
Directed numbers: Numbers that have a size common vertex and side
same variable part
and a direction that could be positive (+) or Complementary angles: Angles that add up
negative (-) Variable: A quantity that can take on different to 90°
values, and is usually denoted by a letter or
Integers: A set of natural numbers and its Diagonal: A line from one vertex of a polygon
symbol
negative counterpart, and zero, for example, to another vertex on the opposite side
...-3, -2,-1,0,1,2, 3...
Inner scale (of a protractor): The inner set
Unit 4
Minimum: Lowest or smallest value in a set
of reading that measures in an anti-clockwise
of values Approximate: To give a number close to the direction from 0° on the right-hand side to
true value
180° on the left-hand side

Interior angles: Angles that exist inside of Ungrouped data frequency table: A Axis of symmetry: A line that cuts a shape
a shape frequency table that presents data as a list into two equal parts that mirror each other
Intersecting lines: Lines that cross or meet where each data value takes up one row Dimension: A measurement of length in one
Obtuse angle; An angle that measures Ungrouped data: Data that is not organised direction
between 90° and 180° into groups or class intervals Edge: A line where two faces of a solid
Outer scale {of a protractor): The inner set meets
of reading that measures in an clockwise Units Face: Any flat surface of a solid
direction from 0° on the left-hand side to 180° Denominator: Number of equal parts that Order of rotational symmetry: The number
on the right-hand side the whole is divided into of times a shape fits onto itself in one full
Parallel lines: Two or more lines that are Equivalent fractions: Fractions that have turn, for example, a rectangle has an order of
always the same distance apart and would the same values despite having different rotation of 2 at 180° and 360°
never meet Orientation: The position or direction of an
numerators and denominators.
Perpendicular lines: Straight lines that meet object to describe how the shape is placed
Fractions: A number that is not a whole
at 90° number and can include parts of a whole in a space
Quadrilateral: A polygon with 4 sides with number Polygon: A two-dimensional closed shape
interior angles that add up to 360 degrees Fractions: A part of a whole that has a made up of straight lines only
Reflex angle: An angle that measures numerator and denominator Regular Polygon: A two-dimensional closed
between 180° and 360° Improper fractions: A fraction where shape made up of straight lines where all
sides and angles are equal
Revolution: A full 360-degree turn the numerator is larger or equal to the
denominator: its value is more than or equal Rotational Symmetry: When an object Is
Right angle: 90° angle
to 1. rotated around a centre point within a full
Straight line: 180° angle
Like fractions: Fractions with the same turn and still looks the same
Supplementary angles: Angles that add up
denominators Symmetry: When one half of a face or
to 180° object Is a mirror image of the other half
Mixed numbers: A combination of a whole
Transversal line: A line that cuts two or
number and a fraction
more lines
Numerator: Number of equal parts of the Unit 11
Truss: A framework or other structure
whole that you are counting Coordinate grid (Cartesian plane): A
Vertex: The point at which two or more lines diagram used to indicate and locate points
Proper fractions: A fraction where the
meet and end along the .v- and _v-axis
numerator Is less than the denominator; its
Vertically opposite angles: Angles formed
value is less than 1 Coordinate: A pair of numbers that show the
to the opposite of each other when two lines exact position of something on a Cartesian
Quotient: The result obtained when a
intersect and pass each other coordinate grid
quantity is divided by another
Remainder: The quantity left over after Grid reference: A point or position on a
Unit 7 map made up of horizontal and vertical lines
dividing a quantity into equal groups
Class interval: The difference between the labelled with numbers or alphabets
Unlike fractions: Fractions with different
highest value and lowest value In each class Linear equation: An algebraic equation in
denominators
Class: A range of values banded together to the form of y = //lv + c where variables only
chart the distribution of frequency has a power of 1
Unit 9
Closed question: A question that has a list Linear graph: A graph of a linear equation,
Consecutive terms: A term and the term
of answers to choose from which is always a straight line
that follow immediately after
Data collection sheet: A document used to Ordered pair: A pair of numbers in which the
Fibonacci sequence: A set of number that
collect and organise data order they appear in is important; it is used
starts with 0 and 1 and continues based on
Data: Information that is collected by to locate a point on the Cartesian grid in the
the rule that each number is equal to the
obsen/ing, questioning or measuring to form of (.V. y)
sum of the numbers that come before it.
inform people to make decisions Origin: Fixed point of reference on a
General term (nth term): A mathematical
Frequency table: A table used to organise Cartesian coordinate grid where the .v-axis
expression made up of variable and
data by showing the number of times each intersects they-axis
constants that gives the successive terms in
value occurs Proportional: Two quantities are
a sequence when integers are substituted
Frequency: The number of times a value proportional when either their ratio or their
into the variables
product gives a constant
occurs
Number pattern: A set of numbers that
Grouped data frequency tables: A Quadrant: A quarter of a Cartesian
follow a certain sequence
frequency table that presents data in classes coordinate grid divided by the .v-axis and
Sequence: A list of numbers that follow a
Grouped data: Data that has been bundled pattern or are governed by a rule _\'-axis
together Into classes x-axis: The horizontal line of reference on a
Term-to-term rule: A rule that allows you to
Open-ended question: A question that has Cartesian coordinate grid or the numbers on
find the next number in a sequence given
no suggested answers that previous terms are known the .v-axis
x-coordlnate: Horizontal distance of point
Organise; To arrange systematically
Term: A number in a sequence
from the origin
Questionnaire: A set of questions used to
y-axis: The vertical line of reference on a
obtain information from individuals
Unit 10 Cartesian coordinate grid or the numbers on
iimj • ^rnethod of collecting data in order i-0 Shape; Aflat shape that has two the y-axis
pensions-, length width, but no aepvh
y-coord\nate: Vertical disVance oi po\nV trom
the origin
itenglh,«dth end height

Mode: The value that occurs the most
Time Interval: The amount of time between
Unit 12 number of times in a data set
the end of an event and the start of another
Percent Out of 100 Outlier: A value that is much higher or much
Time: The measured period during which
Percentage; A number that represents a lower than the other values of the data set
events occur in the past, present or future
fraction of 100 Pictogram: Agraph that uses symbols to
Timetable: A table showing the times at which
display data
"-^^rtain events occur
Unit13 Pie chart: A circular diagram that is divided
Volume: The amount of space a solid takes
Direct Proportion; When two quantities up into sectors where the area of each sector is
increase or decrease at the same time and proportional to the value it represents
the ratio of quantities is constant Range: The difference between the maximum
Unit 16
Proportion: Compares quantities as part of value and minimum value of a data set
Congruent: When two or more figures have
the quantity or as part of a whole Ranked: When values in a data set are listed
the same shape and size
Rate: A ratio between two related quantities in in order of size
Image: The shape obtained after a
different units Spread: How much values in a data set
transformation has taken place; it is congruent
Ratio: Compares quantities of the same kind varies from each other or from the 'middle'
to the original figure
or of the same unit value
Line of reflection: The axis or imaginary line Statistics: Data gathered from a sample to
that passed through the centre between a
Unit 14 figure and its image, or through the centre of help draw information or conclusion about a
larger population
Construction: The drawing of iines, angles a shape, and dividing them into mirror images
and geometrical shapes accurately using Object: The original shape before a
compasses and ruler transformation happens Unit 18
Convention: A standard way of doing Reflection: A transformation in which each Bias; An event in which some outcomes
something are more likely to happen or have a higher
point of a figure and its image appears
Cross section: The shape of the face equidistantirom the-line of reflection; a mirror probability of happening
produced when a solid is sliced through image is produced Equally likely outcomes: Two or more
Grid: A network of lines that cross each other Rotation: Turnjng a shape and ail its points outcomes that have the same probability of
to form a pattern of squares or rectangies about a fixed point through the same angle happening
Set square: A triangular instrument with one in the same direction (clockwise or anti Event: A set of outcome(s) of an activity
angie of 90°, used for drawing angles, parallel clockwise) Experimental Probability: Probability that
lines and perpendicular lines Transformation; A change in the size, is calculated using data from an experiment,
shape, position or orientation of a figure using which is the ratio of the observed to the total
Unit 15 different operations on a coordinate grid number of observations in an experiment
12-hour notation: Away of expressing Translation: Sliding an image along the Fair: An experiment in which all outcomes are
time by dividing 24 hours of a day into two .v-axis and/or v-axis, keeping the size and equally likely or have the same probability
sections, a.m. and p.m. shape unchanged: moving every point in Favourable outcome: Outcome of an event
a shape the same distance in the same
24-hour notation: A way of expressing time that one is interested in
by dividing a day into 24 hours where day direction Mutually exclusive outcomes: Outcomes
runs from midnight to noon and nighttime runs that cannot occur at the same time
from noon to midnight. Unit 17
Outcome: Possible results of an activity or
Seconds: A unit to tell very small amounts of Bar ctiart: A graph that represents categorical event
time data using horizontal or vertical bars with Probability line: A number line labelled from
Analogue clock: A clock which has moving height proportional to the values they 0 to 1 that shows the chance or likelihood of
hands and usually uses a 12-hour display to represent an event happening
indicate time Bar-line graph: A graph similar to bar chart
Probability Tree Diagram: A possibility
Area: The amount of space that a flat surface that uses horizontal or vertical thick lines diagram that is used to show ail possible
with height proportional to the values they
covers outcomes and their probabilities along the
represent
Arrival: The act of reaching a destination branches
Bimodal: A data set with two modes
Composite figure (Compound shape): A Probability: Likelihood of an outcome
•shape that is made up of two or more basic Central tendency: A 'middle' value of a data Relative Frequency: Calculated as an
shapes set that tells us approximately what most of experimental probability where the number of
the values in the set is close to
Cube: Three-dimensional shape in which the times an event occurs is divided by the total
Frequency diagram: A graph similar to bar
faces are squares number of trials done
chart but used to represent grouped data
Cuboid: Three-dimensional shape in which Sample Space: All possible outcomes of an
the faces are squares and rectangles Key: A reference or legend that describes activity or experiment
what each sector represents
Departure: The act of leaving Theoretical Probability: The ratio of the
Mean: The average value of all the data In a number of favourable outcomes to the
Digital clock: A clock which shows lime using
dataset, calculated by dividing the sum of all total number of possible outcomes in an
numbers and usually uses a 24-hour display
values by the number of values experiment
to indicate time
Median: The middle value of a group of
Perimeter: The total length around the sides
ranked data set
of a shape
Modal class: The group of data with the
Surface area: The total area of ail the faces
highest frequency
of a solid