Free Printable Year 10 Test Prep

1.

3/6+1/2=

a)

2/12

b)

7/18

c)

11/12

d)

12/12

2.

2/3-3/6=

a)

3/18

b)

21/18

c)

4/18

d)

12/18

3.

7/12+1/2

a)

20/24

b)

24/12

c)

26/24

d)

2/24

4.

7/8+2/5=

a)

50/40

b)

51/40

c)

49/49

d)

40/40

5.

estimate 2456 to nearest thousand

a)

3000

b)

2000

c)

1000

d)

2500

6.

Round to the nearest ten.
856

a)

850

b)

860

7.

Round to the nearest hundred.
629

a)

600

b)

700

8.

Round 58,345 to the nearest thousand.

a)

58,000

b)

59,000

c)

57,000

d)

58,300

9.

Round 6,978 to the hundreds place.

a)

7,000

b)

6,900

c)

6,000

d)

6,800

10.

Which of the following numbers will NOT round to 400 when rounding to the nearest hundred?

a)

409

b)

445

c)

345

d)

398

11.

m - 5 > 10

a)

m is less than 15

b)

m is greater than 5

c)

m is greater than 15

d)

m is less than 5

12.

- 2k > 18

a)

k is greater than 20

b)

k is less than negative 9

c)

k is greater than negative 9

d)

k is less than 36

13.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

14.

4x - 2 ≤ -22

a)

x ≥ -5

b)

x ≥ -6

c)

x ≤ -6

d)

x ≤ -5

15.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

16.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

17.

a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

18.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

19.

Simplify 5³ x 5⁴

a)

5¹²

b)

5⁷

c)

25¹²

d)

25⁷

20.

Simplify 4⁷ ÷ 4³

a)

4¹⁰

b)

4

c)

4²¹

d)

4⁴

21.

a×a²×a³

a)

a⁶

b)

a⁵

c)

5a

d)

6a

22.

a×a×a×a

a)

4a

b)

a⁴

c)

4a⁴

d)

2a²

23.

Simplify 2b×3b²×5b³

a)

30b⁶

b)

10b⁶

c)

30b⁶

d)

30b

24.

What shape is this?

a)

Triangle

b)

Circle

c)

Square

d)

Rhombus

25.

What shape is this?

a)

Hexagon

b)

Rhombus

c)

Triangle

d)

Cube

26.

How many sides does a hexagon have?

a)

8

b)

5

c)

6

d)

4

27.

7 sided shape

a)

Septagon

b)

Octagon

c)

hexagon

d)

heptagon

28.

8 sided shape

a)

Hexagon

b)

Dodecagon

c)

Octagon

d)

Decepticon

29.

9 sided shape

a)

nonagon

b)

hexagon

c)

octagon

d)

dodecagon

30.

10 sided shape

a)

decepticon

b)

dodecagon

c)

decagon

d)

hexagon

31.

11 sided shape

a)

hendecagon

b)

dodecagon

c)

decagon

d)

hexagon

32.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

33.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

34.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

35.

∠AOB and ∠COB can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

36.

If m∠AOB = 32° and m∠BOC = 17°, find m∠AOC.

a)

15°

b)

49°

c)

31°

d)

90°

37.

What angle pair is pictured?

a)

Alternate Interior Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Corresponding Angles

38.

If angle 1 is x +3 and angle 5 is 2x-61. Solve for X.

a)

X=64

b)

X=67

c)

X= 79.1

d)

X= - 64

39.

If angle 3 is x +23 and angle 4 is x + 61, solve for x.

a)

No Solution

b)

109

c)

71

d)

48

40.

Use an algebraic equation to find the measure of the angle labeled x.

a)

82⁰

b)

37⁰

c)

53⁰

d)

98⁰

41.

Find the value of x

a)

-5

b)

28

c)

19

d)

-3

42.

What is the measure of angle x?

a)

45

b)

60

c)

65

d)

75

43.

a)

A

b)

B

c)

C

d)

D

44.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

45.

Mult (2x + 3)(3x + 4)

a)

6x² + 17x + 7

b)

6x² + 17x + 12

c)

6x² + 8x + 12

d)

6x² + 9x + 12

46.

Mult (4x + 3)(x + 2)

a)

x² + 11x + 6

b)

4x² + 8x + 6

c)

4x² + 3x + 6

d)

4x² + 11x + 6

47.

Mult (3x + 1)(2x + 5)

a)

6x² + 17 + 5

b)

6x + 17x + 5

c)

6x² + 17x + 5

d)

6x² + 17 + 5x

48.

Mult (2x + 3)(2x + 5)

a)

4x² + 16x + 15

b)

4x² + 16 + 15

c)

4x² + 16x + 15x

d)

4x + 16x + 15

49.

Mult (6x + 3)(x + 2)

a)

5x² + 15x + 6

b)

6x² + 15x + 5

c)

6x² + 12x + 6

d)

6x² + 15x + 6

50.

(x-3)(x²+2x+7)

a)

x³-x²+x-21

b)

x³+5x+13x-21

c)

x³-3x²+7x-21

d)

x²+2x-3

51.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

52.

Which expression below is equivalent to (-2x² + 4x + 4)(3x - 5)?

a)

-6x³ + 12x² + 15x – 5

b)

-6x³ + 22x² + 32x – 20

c)

. -6x³ + 2x² – 8x – 5

d)

-6x³ + 22x² - 8x – 20

53.

Identify the hypotenuse.

a)

x

b)

z

c)

w

54.

What is the name of the longest side of a right-angled triangle?

a)

Pythagoras

b)

Hypotenoose

c)

Hipotenuse

d)

Hypotenuse

55.

What is the formula used to solve for the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

56.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

57.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

58.

Find X

a)

35

b)

20

c)

8

d)

12

59.

The next term of the sequence 2,4,8,16 are

a)

64

b)

32

c)

108

d)

20

60.

Find the next three terms: 4, 12, 36, 108, ...

a)

324, 972, 2916

b)

972, 2916, 8748

c)

405, 1215, 3645

61.

You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?

a)

$50

b)

$35

c)

$320

d)

$250

62.

How many tiles are in the 3rd term?

a)

18

b)

19

c)

25

d)

12

63.

Which term would have 42 tiles?

a)

4th

b)

5th

c)

6th

d)

7th

64.

Describe the relationship of the toothpicks in each term

a)

multiplying by 2

b)

adding by 4

66.

Find the term-to-term rule for the following sequence:

3, 8, 13, 18...

a)

+5

b)

-5

c)

+3

d)

+8

66.

Find the term-to-term rule for the following sequence:

3, 8, 13, 18...

a)

+5

b)

-5

c)

+3

d)

+8

67.

Find the term-to-term rule for the following sequence:

2, 6, 10, 14...

a)

+4

b)

+5

c)

+3

d)

+6

68.

Find the term-to-term rule for the following sequence:

15, 21, 27, 33...

a)

+4

b)

+5

c)

+3

d)

+6

69.

Find the term-to-term rule for the following sequence:

8, 11, 14, 17...

a)

+4

b)

+5

c)

+3

d)

+6

70.

Find the term-to-term rule for the following sequence:

21, 29, 37, 45...

a)

+7

b)

+5

c)

+8

d)

+6

71.

Find the term-to-term rule for the following sequence:

34, 41, 48, 55...

a)

+7

b)

+5

c)

+8

d)

+6

72.

What is the solution for the System of Equations below?
y = 3x + 2
y = 5x

a)

(2, 8)

b)

(5, 17)

c)

(1, 5)

d)

(-2, -4)

73.

What is the solution for the System of Equations below?
y = 7x - 3
y = 2x + 7

a)

(-2, -17)

b)

(1, 4)

c)

(3, 13)

d)

(2, 11)

74.

What is the solution for the System of Equations below?
4y = 3x
2y = 3x - 6

a)

(8, 6)

b)

(0, -3)

c)

(-12, -9)

d)

(4, 3)

75.

What is the solution for the System of Equations below?
y - 7 = 5x
y = 3x + 9

a)

(3, 22)

b)

(2, 15)

c)

(-1, 2)

d)

(1, 12)

76.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

77.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

78.

4(p - 6)

a)

-4p - 24

b)

4p + 24

c)

4p + 24

d)

4p - 24

79.

Simplify the ratio of
35 : 14

a)

5 : 2

b)

2 : 5

c)

3 : 1

d)

35: 14

80.

What is the ratio of red apples to green apples

a)

7 apples to 3 green

b)

4 red apples to 7 apples

c)

4 red apples to 3 green apples

d)

3 green apples to 4 red apples

81.

Which is NOT equivalent to 3:5?

a)

15:25

b)

9:15

c)

21:28

d)

30:50

82.

Which one is a real life example of a RATIO?

a)

12 noodles

b)

4 meatballs : 1 cup of sauce

c)

1 jar of sauce

d)

15 desserts

83.

On last week’s maths test Carol had 21 correct out of 25 problems. What percent grade did she receive?

a)

42

b)

80

c)

84

d)

92

84.

Maria has 2 scarves, 27 headbands, and 3 bows. She wanted to know the ratio of scarves to bows. When she discovered the ratio, she made a list of equivalent ratios. Which below is the list?

a)

4:6, 8:12, and 16:24

b)

3:4,6:8,and 12:16

c)

2:27,4:54, and 8:108

85.

In the fruit bowl there are 4 apples, 2 bananas, and 5 pears. What is the ratio of pears to ALL fruit?

a)

5:4

b)

5:11

c)

2:5

d)

6:5

86.

The factorisation of 4x + 16 is _______

a)

4(x + 4)

b)

4(x - 4)

c)

x + 4

d)

4x + 4

87.

Identify whether the given mathematical statement is correct or not
(a + 4) (a + 2) = a² + 8

a)

CORRECT

b)

NOT CORRECT

88.

The greatest common factor of 5a and 15b is _____

a)

5

b)

3

c)

4

d)

15

89.

The factorization of (x³ - 25 x) is ______

a)

x (x - 5)²

b)

x (x + 5)²

c)

x (x + 5) (x - 5)

d)

None of these

90.

Choose the correct answer:
a² + bc + ab + ac = ______

a)

(a + b) (a + c)

b)

(a + b) (b + c)

c)

(a + c) (b + c)

d)

a (a + b + c)

91.

Choose the correct answer:
The factorisation of 25x²y - 5xy is

a)

5xy (5x - 1)

b)

5xy (5x + 1)

c)

5xy (5x + 5)

d)

5xy (x - y)

92.

Choose the correct answer:
The factors of a⁴ - b⁴ is _____

a)

(a² + b²) (a + b) (a - b)

b)

(a² + b²) (a² + b²)

c)

(a² - b²) (a² - b²)

d)

None of these

93.

x²+ 6x + 9 =

a)

(x+3)²

b)

x(x+6) + 9

c)

x² + 3(2x+3)

d)

(x-3)²

94.

x² +6x +8 =

a)

x (x +6) + 8

b)

15x³

c)

x + 2 (3x +4)

d)

(x+4)(x+2)

95.

x² - 81

a)

x - 81

b)

(x - 9)²

c)

(x - 9)(x + 9)

d)

(x + 9)²

96.

If a = 4 & b = 6, what is 3a + 5b?

a)

40

b)

42

c)

44

d)

46

97.

If x=5,find the value of 7x-1

a)

34

b)

36

c)

35

98.

If a=2,b=3,c=4 and d=5,find a+b+c+d

a)

14

b)

12

c)

15

99.

If y = 7, find the value of 2(y+4).

a)

11

b)

22

c)

20

d)

12

Year 10 Test Prep

Total questions: 99

Worksheet time: 4hrs 5mins

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