Buku Tutorial AM025 (Sesi 2021-2022)

Mathematics 2 (AM025)
PSPM 2019/2020

ANSWERS (Paper 1 – AM025/1)

Part A

1. 32 unit2
3

2. x = 20 , y = 5
93

Maximum value = − 875
81

3. (a) 1 x4 + 1 + c
4 3e3x+1

1 +c
3 − 2x3
( )(b) 3

4. (a)

(b) Maximum value = 79
5. (a) r = 5.88% , P = RM9775.59

(b) X = RM539.06 , P = RM2343.60

Part B
1. 10 500 units of graphic calculator A and 6 500 units of graphic calculator B should be

produced to maximize revenue.
Maximum revenue = RM 58 250
2. (a) 3076

9

(b) Market equilibrium point = (10,5)

CS = RM 10

Mathematics 2 (AM025)
PSPM 2019/2020

ANSWERS (Paper 2 – AM025/2)

Part A

1. (a) 1 (b) 4
7 7

2. (a) 0.0801 (b)  = 40 , 0.0228

3. (a) Mean = 15, Median = 15, Mode = 15 (b) 8.429

X = X = X = 15

Symmetry

4. (a) 0.9145. There is strong positive correlation between the effect of television
(b) viewing hours and Body Mass Index (BMI)
(c)
88.76. The price of the laptop decreased by 11.24% in year 2019 compared to
5. (a) year 2018.

(b) 109.10. The price of the laptop increased by 9.1% in year 2019 compared to
year 2018.
Part B
1. (a) (i) 11 or 0.275 (ii) 17 or 0.425 (iii) 3.275
40 40

0 , x  −1

(( )F )  1
x =  −x3 + 3x + 2 ,−1  x  1
4
 1 ,x 1

62.17% (b) 0.119 (c) 0.45 kg

2. (a) (i) y = 1.469 + 1.085x
b = 1.085 means that for every RM 1 (million) increase in the amount
of investment, the revenue will increase by RM 1.085 (million).

(ii) RM 5 266 500

(b) (i) 160.27.
The average relative quantity increased by 60.27% in year 2019
compared to year 2018.

(ii) 110.57
(iii) 142.71

Mathematics 2 (AM025)
PSPM 2020/2021

ANSWERS E ( X ) = 7,Var ( X ) = 4.55 (ii) 0.8803
Part A
1. (a) (i)

(b) (i) 0.3679 (ii) 0.4562

2. 0.9468

There is exist strong positive correlation between self-esteem and monthly salary

3. (a) 103.02. The price increased by 3.02% in April 2021 compared to March 2021.

(b) 102.16. The price increased by 2.16% in April 2021 compared to March 2021.

Part B 100.00. The price remained the same in 2020 compared to 2019.
1. (a) 144.03. The quantity increased by 44.03% in 2020 compared to 2019.
101.97. The price increased by 1.97% in 2020 compared to 2019.
(b) 0.8617
(c)
2. (a)

(b) y = 29.979 −1.601x

When the age increased by 1 year, the price decreased by RM1601.
(c) RM 10767
3. (a)  = 13.84,  = 1.12

(b) (i) k = 11.88 (ii) 0.1423

4. Shown

5. (−7,−22) is a maximum point and (3,−2) is a saddle point.

6. (a) 27.92 (b) ***
7. (a)

y = −x3 − x2 + 2x

Area = 37 unit2 (shown)
12

(b) (i) C ( x) = 5 x2 − 77x + 200 (ii) p ( x) = 400 − 2x

2