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Name
Tutor TOPIC NASMyEstematic Listing and Patterns (Lesson 45)
Topic
Name: ___________________________________________________
Tutor:
Topic: _S_y_s_t_e_m_a_t_i_c_L_is_t_in__g_a_n_d__P_a_t_te_r_n_s__(L_e_s_s_o_n__4_5_)_____________
Primary 2: Rev Up! Math
Exercise 1: Systematic Listing
1. In how many ways can you form a 3-digit number using the following number
cards once each time? (Show your working in the space provided.)
317
There are ways to form..
Eskimo Ice-Cream Treats!
Uncle Robin is going to give Jeff a treat! Jeff can choose any 2 flavours.
Strawberry Vanilla Chocolate Mango Durian
Write down all the possible choices Jeff has in the space below.
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Primary 2: Rev Up! Math
3. Help me find my way home! I am now at Point A and B
my house is at Point B. List all the possible routes I
can return home from Point A to Point B by drawing
arrows, given that I can only move → or ↑.
A
B BB
A AA
B BB
A AA
4. Ravi has some money in his wallet. They can be one-dollar coin, two-dollar
and/or five-dollar notes. List all the possible ways Ravi can make up the
total value of $7. Complete the table below.
No. of $1 coins No. of $2 notes No. of $5 notes Total Value
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Primary 2: Rev Up! Math
5. I am at Point A. Please look at the map of the forest below and
help me get to my food! There is food for me at Point B but a
hungry wolf is waiting at Point C. How many ways can I reach
Point B safely without passing Point C? I can only move → and/or ↓.
A
C
Use the grids below to trace all the paths I can take. A B
AA C
B
CC
C
BB B
AAA
C
CC
3B
BB
AAA
CC
BB
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Primary 2: Rev Up! Math
6. The Tan family is taking a family photo. List all the possible
sitting arrangements in the table below.
1st 2nd 3rd 4th
1. Father (F) Mother (M) Alice (A) Ben (B)
2. F M B A
3. F AM B
4. F A B M
5. F B A M
6. F BM A
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
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Primary 2: Rev Up! Math
Exercise 2: Pattern
Circle the pattern that comes next.
1.
2.
For Question 3 and 4, draw the pattern that comes next.
3.
4.
For Question 5 and 6, fill in the missing shape in each blank.
5. a) b)
6. 5
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7. Primary 2: Rev Up! Math
Figure 1 Figure 2 ?
Figure 3
a) Following the pattern, draw Figure 3
in the space on the right.
Figure 3
b) How many dots will the Figure 5 have?
dots
8. Figure B ?
Figure A
Figure C
(a) Draw Figure C in the space on Figure C
the right.
(b) How many circles will Figure F have?
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6
Primary 2: Rev Up! Math
9. Study the following pattern.
Figure 1 Figure 2 Figure 3
a) Draw Figure 5 in the box on the right.
b) How many triangles will Figure 8 have? Figure 5
You may use the table below to help you. triangles
Figure 1 2 3 4 5 6 7 8
No. 4
10. Study the following pattern.
Figure 1 Figure 2 Figure 3
(a) Draw Figure 4 in the box on the
right.
(b) How many circles will Figure 9 have? Figure 4
Figure 1 2 3 4 5 6 7 8 9 circles
No. 3 6 10 7
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