Free Printable 5PS ADD MATHS

1.

Given the function $g\ :\ x\ \rightarrow\ \left|5-3x\right|,$ find the objects with image 10.

a)

$1\ \frac{2}{3}\ and\ 3$

b)

$1\ \frac{2}{5}\ and\ -3$

c)

$-1\ \frac{2}{3}\ and\ 5$

d)

$-1\ \frac{2}{5}\ and\ 3$

2.

Given $f:\ x\rightarrow3x-5\ and\ g\ :\ x\ \rightarrow\ x^2+4$

, find the value of $fg\left(3\right)\ and\ gf\left(3\right)$

a)

$fg\left(3\right)=43\ and\ gf\left(3\right)=\ 2$

b)

$fg\left(3\right)=34\ and\ gf\left(3\right)=20$

c)

$fg\left(3\right)=3\ and\ gf\left(3\right)=2$

d)

$fg\left(3\right)=34\ and\ gf\left(3\right)=-20$

3.

Given $\alpha\ and\ \beta\$ are the roots of the quadratic equation $x^2-4x+3=0.$ Form the quadratic equation with roots $\alpha+\frac{1}{\beta}\ and\ \beta+\frac{1}{\alpha}.$

a)

$3x^2+x+1=0$

b)

$x^2+16x-16=0$

c)

$3x^2-16x-16=0$

d)

$3x^2-16x+16=0$

4.

The straight line $y=mx-5\$ does not intersect the curve $y^2-4y+x^2=21.$ Find the range of values of m.

a)

$m>-\frac{\sqrt{24}}{5}\ and\ m>\frac{\sqrt{24}}{5}$

b)

$m<\frac{\sqrt{24}}{5}\ and\ m<-\frac{\sqrt{24}}{5}$

c)

$-\frac{\sqrt{24}}{5}<m<\frac{\sqrt{24}}{5}$

d)

$\frac{\sqrt{24}}{5}<m<-\frac{\sqrt{24}}{5}$

5.

Solve the simultaneous equations $x+4y=18$ and $x^2+y^2+6x-2y-7=0.$

a)

$x=-2\ and\ y=5$

b)

$x=-2\ and\ y=-5$

c)

$x=2\ and\ y\ =5$

d)

$x=2\ and\ y=-5$

e)

$x=\frac{1}{2}\ and\ y\ =\frac{1}{5}$

6.

Given $2^{5x-1}+16=2^{5x}$ , find the value of x that satisfies the equation.

a)

$-2$

b)

$-1$

c)

$0$

d)

$1$

e)

$2$

7.

$\frac{\sqrt{6}-\sqrt{2}}{\sqrt{8+2\sqrt{12}}}=A-\sqrt{B},\$ find the value of $2B-A.$

a)

$-\frac{324}{81}$

b)

$\frac{384}{96}$

c)

$\frac{896}{128}$

d)

$-\frac{448}{28}$

8.

Find the value of $\log_349\ \times\log_7\sqrt{81}.$

a)

2

b)

3

c)

4

d)

5

9.

A cinema has 20 seats in the first row, 22 seats in the second row and thereafter each of the rows increase by 2 seats for a total of 30 rows. Find the total number of seats from the 7th to the 16th row in the cinema.

a)

560

b)

640

c)

410

d)

380

10.

$12,\ 6,\ 3,\ ...,\ \frac{3}{32}.$

Find the sum of all the terms of the geometric progression

a)

23.90625

b)

23.96025

c)

23.25609

d)

23.60925

11.

Find the area of quadrilateral ABCD with vertices $A\left(3,\ 7\right),\ B\left(-4,\ 2\right),\ C\left(0,\ 0\right)and\ D\ \left(7,\ 3\right).$

a)

74

b)

37

c)

77

d)

34

12.

The prices for a type of car tyre in the years 2017 and 2019 are RM220 and RM275 respectively. The price index for the car tyre in the year 2017 based on the year 2015 is 110. Calculate the price index for the car tyre in the year 2019 based on the year 2015.

a)

135.7

b)

137.5

c)

153.7

d)

157.3

13.

A circle with centre O. It is given that $\angle POQ=0.8728\ radian$ and the length of the major arc PQ = 38.45 cm.

Given that $\pi=3.142,$ calculate the length, in cm, of the radius.

a)

7.1056

b)

7.1605

c)

7.5106

d)

7.1605

14.

A block of ice in the shape of a cube with sides x cm, is melting at a rate of $7.29\ cm^3\ \min^{-1}.$ Find the rate of change of x at the instant when x = 9 cm.

a)

$-0.03\ cm\ \min^{-1}$

b)

$0.03\ cm\ \min^{-1}$

c)

$-0.01\ cm\ \min^{-1}$

d)

$0.01\ cm\ \min^{-1}$

15.

It is given that 25% of the residents of Taman Anggerik are senior citizens. If 8 residents are chosen at random, calculate the probability that at least two of them are senior citizens.

a)

0.2670

b)

0.1001

c)

0.3671

d)

0.6329

5PS ADD MATHS

Total questions: 15

Worksheet time: 59mins

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