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Worksheets

prep test

Total questions: 67

Worksheet time: 1hrs 13mins

Name
Class
Date
1.

Solve the equation for x: 2y + 4x = 10

a)

x = (10 - 2y) / 2

b)

x = (10 + 2y) / 4

c)

x = (10 - 2y) / 4

d)

x = (10 - 4y) / 2

2.

If the perimeter of a square is 20 cm, find its side length.

a)

5

b)

4

c)

6

d)

10

3.

Find the area of a rectangle with length 8 cm and width 5 cm.

a)

13 cm²

b)

40 cm²

c)

30 cm²

d)

56 cm²

4.

Solve the linear inequality: 3x + 5 > 10

a)

x > 10

b)

x < 5/3

c)

x > 5/3

d)

x = 5/3

5.

The bearing of a tree from a house is 295°. Find the bearing of the house from the tree.

a)

115°

b)

025°

c)

095°

6.

The perimeter of a three quandrant circle is

a)

πr2/4

b)

πr2

c)

3πr2

7.

Factorized 2x^2-8xy

a)

2x(x-9y)

b)

2x(x+9y)

8.

P^2 - 4q^2

a)

(p-2q)(p+2q)

b)

(p-4q)(p+4q)

9.

Half of an hour is

a)

30mins

b)

40mins

c)

59mins

10.

10base2+11base2+11base2?

a)

1000

b)

1010

c)

10001

11.

What is the complementary angle of 50°

a)

35°

b)

40°

c)

130°

12.

√45/125

a)

3/5

b)

9/10

13.

On N35000 interest rate of 15percent for 4yrs. (Simple interest)

a)

N21000

b)

N3200

c)

N4500

14.

What is the formula for compound interest?

a)

P(1+r/100)^n

b)

PRT/100

c)

P(RT/100)

15.

A boy is 3times as old as a girl. If their total age is 48yrs. How old is the girl?

a)

12

b)

24

c)

16

16.

The volume of a cone?

a)

1/3πr^2h

b)

2πr^2h

c)

πr^2h

17.

Convert 104 to binary number

a)

110100

b)

10000

c)

110011

18.

Make a the subject

P=2(a+b)

a)

A=p-b/2

b)

A=p-2/b

c)

A=p+2b/2

19.

The interior angle of a regular polygon is 720°. How many sides has the polygon got?

a)

6

b)

9

c)

10

20.

What is the model of the following numbers

4,5,3,3,4,2,7,6,5,4,4 and 1

a)

3

b)

4

c)

5

21.

Write 356.07 in standard form

a)

3.5607×10^3

b)

3.5607×10^2

c)

35607×10^2

22.

Solve the linear inequality: -2x + 7 ≤ 3

a)

x ≥ 2

b)

x ≤ 5

c)

x > 2

d)

x ≤ 2

23.

Solve the equation for x: 2y + 4x = 10

a)

x = (10 - 2y) / 2

b)

x = (10 + 2y) / 4

c)

x = (10 - 2y) / 4

d)

x = (10 - 4y) / 2

24.

Convert the number 101010 from base 2 to base 10.

a)

42

b)

110011

c)

100001

d)

1010101

25.

If the perimeter of a square is 20 cm, find its side length.

a)

5

b)

4

c)

6

d)

10

26.

Find the area of a rectangle with length 8 cm and width 5 cm.

a)

13 cm²

b)

40 cm²

c)

30 cm²

d)

56 cm²

27.

Solve the linear inequality: 3x + 5 > 10

a)

x > 10

b)

x < 5/3

c)

x > 5/3

d)

x = 5/3

28.

Solve the linear inequality: 3x + 5 > 10

a)

x > 10

b)

x < 5/3

c)

x > 5/3

d)

x = 5/3

29.

Write 356.07 in standard formi

a)

3.5607×10^3

b)

3.5607×10^2

c)

35607×10^2

30.

Convert the number 101010 from base 2 to base 10.

a)

42

b)

110011

c)

100001

d)

1010101

31.

Solve the linear inequality: -2x + 7 ≤ 3

a)

x ≥ 2

b)

x ≤ 5

c)

x > 2

d)

x ≤ 2

32.

Find the area of a rectangle with length 8 cm and width 5 cm.

a)

13 cm²

b)

40 cm²

c)

30 cm²

d)

56 cm²

33.

If the perimeter of a square is 20 cm, find its side length.

a)

5

b)

4

c)

6

d)

10

34.
  1.  What is the coefficient of r in -12pqr divided by (+6pq)?

a)

6

b)

-6

c)

-2

d)

2

35.
  1.  Simplify: 2y - 3x + 4y + 5x - 2y

a)

4y - 8x

b)

2x - 4y

c)

8x - 4y

d)

2x + 4y

36.

Solve the inequality: 2x + 3 < 7

a)

x > 2

b)

x = 2

c)

x < 2

d)

x ≤ 2

37.

Calculate the perimeter of a rectangle with length 10 cm and width 5 cm

a)

20 cm

b)

30 cm

c)

25 cm

d)

15 cm

38.

If the probability of an event B is 0.6, what is the probability of B or A happening?

a)

0.8

b)

0.4

c)

0.6

d)

1.0

39.

Find the value of x in the equation: 2x^2 - 5x - 3 = 0

a)

x = 4

b)

x = -1, x = 3/2

c)

x = 1

d)

x = -2

40.

What is the sum of interior angles of a quadrilateral?

a)

360 degrees

b)

450 degrees

c)

270 degrees

d)

180 degrees

41.

Determine the value of x in the equation: 3(x + 4) = 21

a)

x = 3

b)

x = 7

c)

x = 5

d)

x = 10

42.

Solve the system of equations: 2x + 3y = 8 and x - y = 1

a)

{'x': 2, 'y': 1}

b)

{'x': 4, 'y': 3}

c)

{'x': 1, 'y': 0}

d)

{'x': 3, 'y': 2}

43.

Factorize the expression: x^2 + 5x + 6

a)

(x + 1)(x + 6)

b)

(x + 5)(x + 1)

c)

(x + 4)(x + 2)

d)

(x + 2)(x + 3)

44.

If the probability of an event A is 0.4, what is the probability of not A?

a)

0.6

b)

0.5

c)

0.2

d)

0.8

45.

Calculate the area of a triangle with base 6 cm and height 8 cm

a)

48 square cm

b)

14 square cm

c)

24 square cm

d)

30 square cm

46.

Find the roots of the quadratic equation: x^2 - 4x + 4 = 0

a)

x = 2

b)

x = -2

c)

x = 3

d)

x = 5

47.

Solve the equation: 2x + 5 = 15

a)

x = 10

b)

x = 7

c)

x = 3

d)

x = 5

48.

Simplify the expression: 3x + 2y - 5x + 4y

a)

-2x + 2y

b)

-2x + 6y

c)

-5x + 6y

d)

3x + 4y

49.
Find the product 0.0389 X 0.7. Round off the answer correct to two significant figures.
a)
0.027
b)
0.028
c)
0.03
d)
0.02
50.
4.05 X 10-7 - 2.7 X 10-8 =
a)
1.38 X 10-8
b)
3.78 X 10-8
c)
1.38 X 10-7
d)
3.78 X 10-7
51.

Correct 0.002473 to 3 significant figures

      

a)

0.002

b)

0.0024

c)

0.00247

d)

0.0025

52.
Solve:
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
53.

What is the measure of this angle?

a)

65

b)

66

c)

125

d)

54

54.
Which angle type is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
55.

Two vertically opposite angles are drawn. One is

 2x+20°2x+20\degree  big and the other is x+30°x+30\degree  big. Calculate their values.

a)

x=10, so they both are equal to 40 degrees

b)

x=40, so they both are equal to 10 degrees

56.

These are last week's test scores

3, 4, 5, 5, 5, 5, 6, 7, 7, 7, 8, 9, 10, 10

Calculate the mean score.

a)

6.5

b)

7.5

c)

6

d)

8.5

57.

Inverse proportion between two values is shown when one __________ as the other ____________.

a)

Increases, decreases

b)

Decreases, decreases

c)

Increases, increases

58.

Factorize the equation

 x2+11x+18x^2+11x+18  

a)

 (x+9)(x+2)\left(x+9\right)\left(x+2\right)  

b)

 (x9)(x2)\left(x-9\right)\left(x-2\right)  

c)

 (x+6)(x+3)\left(x+6\right)\left(x+3\right)  

d)

 (x6)(x5)\left(x-6\right)\left(x-5\right)  

59.

Given that A ={1, 3, 5, 7, 9} and B= {2, 4,5, 6, 8, 10, 12}. Find ( A U B)

a)

{}

b)

{5}

c)

{1, 2, 3, 4, 5, 6, 7, 8,9,10}

d)

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10,12}

60.

Find the angle θ° which an arc 22cm long subtends at the centre of a circle of radius 12cm [Take π = 22/7]

a)

105°

b)

310°

c)

12°

d)

4.6°

61.

Find the length of an arc which subtends an angle of 112° at the centre of a circle of radius 9cm.[Take π=22/7]

a)

61.6cm

b)

17.6cm

c)

8.8cm

d)

121cm

62.

Find the quadratic equation whose roots are -1 and +3

a)

y² - 2y +3 =0

b)

y²+2y-3=0

c)

y²+2y+3=0

d)

y² - 2y -3 =0

63.

What is the sun of the root of the equation

x² - 3x + 2 = 0

a)

3

b)

2

c)

1

d)

0

64.

Solve the equation.

y² -3y =0

a)

y = 1 or 3

b)

y =0 or 3

c)

y =1 or -3

d)

y= 0 or -3

65.

Factorise 8x² - 14x - 9

a)

(4x +9)(2x + 1)

b)

(4x - 1)(2x + 1)

c)

(4x - 9)(2x +1)

d)

(2x -1)(4x+9)

66.
Which of the following equations match the given graph?
a)
y  < 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y ≤  2/5x + 1
d)
y ≥ -2/5x - 1
67.

0.001603 is written as 1.603 X 10n in the standard form. State the value of n.

a)

2

b)

3

c)

4

d)

5