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Math Review Quiz

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.

The number 3.1403 written correct to 3 decimal places is

a)

3.140

b)

3.141

c)

3.146

d)

3.150

2.

What percentage of 40 is 8?

a)

5%

b)

20%

c)

32%

d)

150%

3.

Using the distributive property

49x17+49x3=

a)

49x20

b)

49+20

c)

52x66

d)

52+66

4.

The next term in the sequence

1,6,22,33,_____ is

a)

44

b)

45

c)

46

d)

52

5.

0.45 written as a common fraction is

a)

 920\frac{9}{20}  

b)

 45\frac{4}{5}  

c)

 910\frac{9}{10}  

d)

 54\frac{5}{4}  

6.

A certain amount of money is shared in the ratio 2:3:9. If the difference between the first and second shares is $40, then the amount of money shared is

a)

$280

b)

$360

c)

$400

d)

$560

7.

which pf the following sets is equivalent to {a, b, c, d}

a)

{4}

b)

{a, b, c}

c)

{p, q, r, s}

d)

{1, 2, 3, 4, 5}

8.

The shaded region in the Venn diagram below reresents

a)

P'

b)

(P \cup Q)'

c)

P \cup Q'

d)

Q \cap P'

9.

In the Venn diagram

U = {students who play games}

H = {Students who play hockey}

V = {students who play volleyball}

The number of students in each set is shown. How many students do NOT play volleyball?

a)

2

b)

3

c)

5

d)

8

10.

If Q = {a, b, c} How many subsets can be obtained from the set Q?

a)

2 + 3

b)

2 x 3

c)

232^3

d)

323^2

11.

If P = {prime numbers}

Q = {odd numbers}

R = {even numbers}

Which of the following sets is empty?

a)

P \cap R

b)

P \cup Q

c)

P \cap Q

d)

Q \cap R

12.

If P and Q are two sets where  n(PQ)=13n\left(P\cup Q\right)=13  ,  n(PQ)=6n\left(P\cap Q\right)=6  and  n(P)=9n\left(P\right)=9  , then  n(Q)=n\left(Q\right)=  

a)

4

b)

10

c)

15

d)

22

13.

 15x+23x=\frac{1}{5x}+\frac{2}{3x}=  

a)

 38x2\frac{3}{8x^2}  

b)

 38x\frac{3}{8x}  

c)

 1315x2\frac{13}{15x^2}  

d)

 1315x\frac{13}{15x}  

14.

 5(2x1)=355\left(2x-1\right)=35  

What is the value of x?

a)

-4

b)

 14\frac{1}{4}  

c)

3

d)

4

15.

 3x2×2x3=3x^2\times2x^3=  

a)

 6x56x^5  

b)

 5x55x^5  

c)

 6x66x^6  

d)

 72x572x^5  

16.

Given that 3*6=12 and 2*5=9, then a*b may be defined as

a)

4(ba)4\left(b-a\right)

b)

a2 ba^2-\ b

c)

6ab6a-b

d)

2a+b2a+b

17.

When 8 is subtracted from a certain number and the result is multiplied by 3 the answer is 21. What is the original number?

a)

1

b)

3

c)

10

d)

15

18.

 x=2, y=3, t=2, then (xy)t=x=-2,\ y=3,\ t=2,\ then\ \left(\frac{x}{y}\right)^t=  


a)

 49\frac{-4}{9}  

b)

 49\frac{4}{9}  

c)

 43\frac{4}{3}  

d)

 94\frac{9}{4}  

19.

 {xZ: 2x4}\left\{x\in Z:\ -2\le x\le4\right\}  

Which of the following sets is defined by the set builder notation?

a)

{0, 1, 2, 3, 4}

b)

{1, 2, 3, 4}

c)

{-1, 0, 1, 2, 3}

d)

{-2, -1, 0, 1, 2, 3, 4}

20.

 11.1÷0.01=11.1\div0.01=  

a)

110

b)

111

c)

1100

d)

1110

21.

The sum of 2 positive numbers (p and q) is 32. Their difference is 12. What is the SMALLER number?

a)

10

b)

12

c)

20

d)

22

22.

John has x marbles and Max has twice as many marbles as John. Max gives john 5 of his marbles. How many marbles does John now have?

a)

x+5x+5

b)

x5x-5

c)

2x52x-5

d)

2x+52x+5

23.

In the triangle, not drawn to scale,  BAC=30°BAC=30\degree  , and AB = 40 m. The length BC, in metres, is

a)

 40sin30°40\sin30\degree  

b)

 40tan30°40\tan30\degree  

c)

 40sin60°40\sin60\degree  

d)

 40tan60°40\tan60\degree  

24.

A surveyor sets up his instruments 12 meters from the foot of a building, and records the angle of elevation of the top of the building. An estimate of the height of the building is obtained by claculating

a)

12tan 40°12\tan\ 40\degree

b)

12sin40°12\sin40\degree

c)

1.6+12cos40°1.6+12\cos40\degree

d)

1.6+12tan40°1.6+12\tan40\degree

25.

The diagram, not drawn to scale, shows the angle of depression of a point X from Z is 30 degrees. If X is 10 meters away from Y, what is the height of YZ in meters?

a)

10tan30°10\tan30\degree

b)

10sin30°10\sin30\degree

c)

10cos30°10\cos30\degree

d)

10cos60°10\cos60\degree