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Worksheets

Year 8 Exam Revision

Total questions: 104

Worksheet time: 2hrs 31mins

Name
Class
Date
1.

3 x a = ...

a)

a

b)

3a

c)

a3

d)

3a3

2.

a x a = ...

a)

a

b)

2a

c)

a2

d)

2a2

3.

2a x 3a = ...

a)

6a

b)

6a2

c)

2a2

d)

a2

4.

x+xx+x  =

a)

2x2x  

b)

x2x^2  

5.

2x+2x=

a)

2x22x^2

b)

4x

6.

y×5yy\times5y  =

a)

6y

b)

5y25y^2  

7.

3h×h×y3h\times h\times y  

a)

3hy

b)

3h2y3h^2y  

8.
What is the algebraic expression for                  "the sum of n and 9"?
a)
n - 9
b)
n + 9
c)
n/9
d)
9n
9.
the product of 34 and z 
a)
34/z
b)
z/34
c)
z X 34
d)
34 - z 
10.
take 10 away from s 
a)
10 - s 
b)
s + 10
c)
s - 10
d)
s/10
11.

What is the following written in expanded form?

646^4  

a)

6 x 4

b)

6 x 6 x 6 x 6 x 6 

c)

6 x 6 x 4

d)

6 x 6 x 6 x 6

12.

What is the following when in expanded form?

a3 ×aa^{3\ }\times a  

a)

a x 4

b)

4a

c)

a x a x a x a

d)

a + a + a + a

13.

Is Pi (π) rational or irrational?

a)

Rational

b)

Irrational

14.

What is the only even prime number?

(a)  

15.

What is the perimeter of a circle called?

(a)  

16.

Are all sides equal in an Isosceles triangle?

a)

Yes

b)

No

17.

What is the top number of a fraction called?

(a)  

18.

Which prime number comes after 3?

(a)  

19.

Which is bigger: 100 or 10 squared?

a)

100

b)

10 Squared

c)

They're the same!

20.

What is the lowest common multiple (LCM) of 6, 8, and 12?

(a)  

21.

If 6 students share 36 cookies, how many cookies does each student get?

a)

2

b)

6

c)

12

d)

36

22.

Jamie reads 14 pages in her 38-page book. How many pages are left?

(a)  

23.

What is the closest whole number to 1,569.3?

(a)  

24.
Simplify:
9 - 4(8 - 3) + 10 ÷ 2
a)
-6
b)
30
c)
-3
d)
5
25.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
26.
Solve the equation
4(2x-5)=7(2x+4)
a)
8
b)
-8
c)
-1.5
d)
1.5
27.

Give the solution to the system
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
a hoppy hippo
28.

Which of the following is not a quadrilateral ?

a)

Square

b)

Rectangle

c)

Triangle

d)

Parallelogram

29.

ABCD is a rectangle & AC &BD are its diagonals.

If AC= 10 cm ,then BD is :

a)

5 cm

b)

10 cm

c)

15 cm

d)

20 cm

30.

What is the sum of two adjacent angles of a parallelogram :

a)

900

b)

1200

c)

1800

d)

3600

31.

Name the quadrilateral whose diagonals are equal & bisect each other at 900 .

a)

Rhombus

b)

Rectangle

c)

Square

d)

Parallelogram

32.

Round 1.823 to the nearest whole number.

a)

1

b)

1.8

c)

2

d)

2.8

33.
Round 23.542 to the nearest tenth.
a)
23.5
b)
23.6
c)
23.54
d)
23
34.
Round 5.592 to the nearest hundredth.
a)
5.60
b)
5.50
c)
6.59
d)
5.59
35.
Round 72.178 to the nearest hundredth.
a)
72.2
b)
72.18
c)
72
d)
73.18
36.
Round 47.941 to the nearest tenth.
a)
47.9
b)
48
c)
47.91
d)
48.1
37.
Which of the following is true?
a)
1.72 rounded to the nearest tenth is 1.7
b)
2.62 rounded to the nearest tenth is 2.7
c)
3.41 rounded to the nearest whole number is 4
d)
10.231 rounded to the nearest hundredth is 10.22
38.

Simplify the expression using product notation:

3a×4b3a\times4b

a)

7ab7ab  

b)

12ba12ba  

c)

12a×b12a\times b  

d)

12ab12ab  

39.

Simplify:


3×(a+b)3\times\left(a+b\right)  

a)

3a + b3a\ +\ b  

b)

3a+3b3a+3b  

c)

3ab3ab  

d)

3×a+3×b3\times a+3\times b  

40.

Write in simplest form the following expression:

2×a×b×c×4×c×c2\times a\times b\times c\times4\times c\times c  

a)

6abc36abc^3  

b)

8abc28abc^2  

c)

2acb×4c22acb\times4c^2  

d)

8abc38abc^3  

41.

What is the coefficient of cc  in the following expression ?

2c2c+42c^2-c+4  


a)

2

b)

1

c)

-1

d)

4

42.

How many constant terms are there in the following equation ?


3+4abπ=4a53+4ab-\pi=4a-5  

a)

2

b)

4

c)

3

d)

5

43.

What is the coefficient of  bb   in the following expression after collecting like terms ?


4a +3bcb4a\ +3b-c-b  

a)

33  

b)

22  

c)

1-1  

d)

3 and 13\ and\ -1  

44.

How many like terms are there after simplifying the following equation using index notations:

3ab+4b2ab=2b×(a+b)63ab+4b^2-ab=2b\times\left(a+b\right)-6

a)

22  

b)

33  

c)

66  

d)

55  

45.

1 + (-1)

a)

1

b)

2

c)

0

d)

-1

e)

3

46.

-3 x -2 x -1

a)

6

b)

-6

c)

-5

d)

-3

47.

24 = 32

a)

TRUE

b)

FALSE

48.

What is the answer for: 5452 x 52\frac{5^4}{5^2\ x\ 5^2}  ?

a)

0

b)

2

c)

5

d)

1

49.

Solve for: (-3)2

a)

-9

b)

9

c)

8

d)

-8

50.

Give HCF of 8, 18, 50

a)

5

b)

8

c)

-5

d)

2

51.

Bob packed twenty grapes and a pear in his lunch. He ate thirteen grapes and the pear. What fraction of the grapes did Bob eat?

a)

13/20

b)

14/20

c)

14.21

d)

7/20

52.

Find the missing length

a)

15

b)

19

c)

17

d)

24

53.

Solve the problem.

27 + (-83)

a)

-56

b)

110

c)

56

d)

-110

54.

What is the total distance around a figure called?

a)

Area

b)

Perimeter

c)

Volume

d)

Surface area

55.

Ten years ago, P was half of Q's age. If the ratio of their present ages is 3:4, what will be the total of their present ages?

a)

45

b)

30

c)

35

d)

40

56.

6 ÷ 2(1+2) = (Don't use a calculator on this one.)

a)

9

b)

0.9

c)

1

d)

36

57.

Jack shared 3 pizzas with his 4 friends. 5 pizzas cost $38.40. What would each pizza cost?

a)

$12.80

b)

$128.0

c)

$13.50

d)

$7.68

58.

What is the difference between 138.08 and 13.8?

a)

124.28

b)

1242.8

c)

12.428

d)

100.02

59.

Change 5 6/8 to a improper fraction. Reduce your answer to lowest terms.

a)

27/8

b)

24/4

c)

23/4

d)

21/4

60.

A diameter of a circle is 4.6 cm. What is the area of a circle in mm?

a)

167.2 mm

b)

166.1 cm

c)

166.1 mm

d)

16.61 mm

61.

1 ÷ 0.2 =

a)

0.5

b)

5

c)

50

d)

0.05

62.

0 ÷ 7 =

a)

undefined

b)

0.7

c)

0.007

d)

0

63.

5 (x+2) -3

a)

5𝑥-7

b)

6𝑥+7

c)

5y+6

d)

5𝑥+7

64.

x(2-6) +4

a)

−4𝑥+4

b)

−4+4

c)

−4𝑥+5

d)

4𝑥- 4

65.

x(8+9)-2

a)

17x +2

b)

17y -2

c)

17x -2

d)

27x -2

66.

What is the sum of three angles of a triangle ?

a)

160

b)

170

c)

180

d)

190

67.

a delivery company charges a $10 fee plus $3 packing per item. How much does it cost to deliver 7 items to a customer?

a)

$31

b)

$32  

c)

$30

d)

$33

68.

find the mean of the following 23, 45 , 54, 69

a)

46

b)

47.75

c)

48

d)

49

69.

What is the area of the given trapezium

a)

26

b)

26cm3

c)

26cm

d)

26 cm2

70.

Find the range of the following

56, 34, 65, 45, 68

a)

34

b)

31

c)

23

d)

22

71.

Figure ABCD is a

a)

Quadrilateral, particularly a Trapezium.

b)

Quadrilateral, particularly a Parallelogram.

c)

Undefined, just a Trapezium.

d)

Undefined, just a Parallelogram.

72.

Round off 42.59867 to 2 decimal places.

4 lines
73.
What is the probability of rolling a 5 on a standard die?
a)
1/5
b)
5/6
c)
1/6
d)
5
74.
You flip 3 coins. What is the probability that all three come up heads?
a)
3/8
b)
1/3
c)
7/8
d)
1/8
75.
What is the probability of NOT spinning green on this spinner?
a)
1/4
b)
3/4
c)
1/12
d)
5/12
76.
Based on the chart, what is the experimental probability of pulling a green marble?
a)
1/8
b)
8/25
c)
8/100
d)
7/8
77.
There are 23 marbles, each a different color in a bag. One of them is pink. What is the probability of reaching in to the bag, without looking, and selecting a pink marble?
a)
1/22
b)
1/23
c)
23/1
78.
The outcome table below shows the possible results of rolling a dice and flipping a coin.  Determine the probability of getting a head OR an even number in simplified form.
a)
9/12
b)
3/4
c)
1/2
d)
1/3
79.
The outcome table below shows the possible results of rolling a dice and flipping a coin.  Determine the probability of getting a number less than 5 OR a tail.
a)
4/12
b)
4/20
c)
8/12
d)
10/12
80.
If you spin the spinner 90 times, how many times should the number 3 be selected?
a)
9
b)
15
c)
16
d)
30
81.
You draw a card from a standard deck of 52 cards, and don't put it back. What is the probability the next card you draw is the same suit? (There are 13 of each suit in a deck)
a)
1/52
b)
12/52
c)
12/51
d)
1/4
82.
According to the two-way table, a person who plays an instrument is most likely to:
a)
Not play an instrument
b)
Not play a team sport
c)
Play a team sport
d)
All of the above
83.
What percentage of the boys had red hair?
a)
5%
b)
10%
c)
12%
d)
4%
84.
What is it called when two or more of the same units are being compared?
a)
Rate
b)
Ratio
c)
Proportion
d)
Unit Rate
85.
There are 4 birds and 6 butterflies. What is the ratio of birds to butterflies?
a)
6/4
b)
2/3
c)
1/3
d)
10/16
86.
There are 4 birds and 6 butterflies. What is the ratio of birds to total animals?
a)
4/10
b)
2/5
c)
6/4
d)
10/4
87.
Simplify the ratio of:
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
No Option is Correct
88.
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
89.
Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.
a)
7:5
b)
5:7
c)
3:5
d)
5:3
90.
There are 4 aces in a deck of 52 playing cards, express aces to other cards as a simplified ratio.
a)
4:48
b)
2:24
c)
1:12
d)
10:120
91.
A store has 30 gas heaters and 20 electric heaters in its warehouse. Find the ratio of gas heaters to electric heaters in simplest form.
a)
30:20
b)
2:3
c)
3:2
d)
20:30
92.
Using the letters of the phrase STATE OF MASSACHUSETTS write a ratio for A to T.
a)
4:4
b)
3:4
c)
1:4
d)
4:3
93.
Simplify 5 days to 7 weeks.
a)
5:7
b)
5:35
c)
5:49
94.
Simplify 8 months to 4 years.
a)
8:4
b)
2:1
c)
8:12
d)
1:6
95.
Simplify 1.5 kg to 500 g.
a)
1:3
b)
1:5
c)
3:1
d)
5:3
96.
[CHALLENGE!]
If there are 5 boys for every 7 girls in a math class, how many boys are there if there are 35 girls?
a)
20
b)
25
c)
30
d)
35
97.
[CHALLENGE!]
Divide 80 in the ratio 9:7.
a)
9:7
b)
45:35
c)
36:28
d)
50:30
98.
Name this shape.
a)
Rectangle
b)
Parallelogram
c)
Square
d)
Kite
99.
Which of the following can NEVER have all 4 sides the same?
a)
square
b)
rhombus
c)
rectangle
d)
trapezoid
100.
A quadrilateral with 4 equal sides could be:
a)
a rectangle or a trapezoid
b)
a square or a rhombus
c)
a parallelogram or a trapezoid
d)
a kite or a square
101.
All squares are rhombuses.
a)
True
b)
False
c)
Some
d)
Never
102.
Is this a parallelorgram?
a)
This is a trapezoid
b)
No
c)
There is no such thing as a parallelogram
d)
Yes
103.
What is the name of this shape?
a)
Kite
b)
Rhombus
c)
Square
d)
Rectangle
104.
What type of triangle is this?
a)
Equilateral
b)
Isosceles
c)
Scalene
d)
Obtuse