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Worksheets

MATHS

Total questions: 151

Worksheet time: 7hrs 6mins

Name
Class
Date
1.

What is the next number 35, 40, 45, 50 _______

a)

60

b)

55

c)

65

d)

51

2.

How many centimetres are there in 2½ metres?

a)

225 cm

b)

250 cm

c)

200cm

d)

275cm

3.

Simplify 2a - 3b + 4a - 5b

a)

6a + 8b

b)

6a - 8b

c)

6a8b

d)

8a - 6b

4.

What is the median of the numbers 2, 2, 3, 9 ?

a)

7

b)

4

c)

2.5

d)

2

5.

What is the area of this triangle?

a)

17cm2

b)

20cm2

c)

30cm2

d)

60cm2

6.

Solve the equation 2n + 3 = 23

a)

n = 1

b)

n = 10

c)

n = 11

d)

n = 13

7.

What is 257.483 rounded to 2 decimal places?

a)

257.5

b)

257.49

c)

257.48

d)

257.50

8.

What is 257.483 rounded to 2 significant figures?

a)

257.48

b)

257

c)

250

d)

260

9.

What is  23\frac{2}{3}  of 30?

a)

10

b)

15

c)

20

d)

40

10.

What is 14\frac{1}{4}  as a decimal?

a)

0.25

b)

0.4

c)

0.2

d)

0.26

11.

Two angles in a triangle are 23  °\degree   and 57 °\degree  what is the 3rd?

a)

90 °\degree  

b)

100 °\degree  

c)

98 °\degree  

d)

101 °\degree  

12.

23×56 = \frac{2}{3}\times\frac{5}{6}\ =\  

a)

79\frac{7}{9}  

b)

1018\frac{10}{18}  

c)

59\frac{5}{9}  

d)

109\frac{10}{9}  

13.

171.85 ÷\div  7=

a)

23.55

b)

24.45

c)

24.55

d)

23.45

14.

What is the highest common factor of 36 and 63?

a)

3

b)

6

c)

9

d)

12

15.

-15 x -12

a)

180

b)

-180

c)

-3

d)

3

16.

4 + ? = 5

(a)  

17.

31 + ? = 100

(a)  

18.

What is half of 6?

(a)  

19.

20-10=

(a)  

20.

93= 33+ ?

(a)  

21.

1 x 5=

(a)  

22.

12 ÷\div   4 =

(a)  

23.

10 x ? = 70

(a)  

24.

? x 10 = 30

(a)  

25.

7 ÷\div  ? = 1

(a)  

26.

(-4) - (-9) = ?

(a)  

27.

What is 1/1 of 10?

(a)  

28.

4 x 607 = ?

(a)  

29.

3.66 + 35.33=?

(a)  

30.

1270- 914 = ?

(a)  

31.

List all the factors of 30

a)

30, 60, 90, 120, .....

b)

2, 15, 5, 6

c)

1, 2, 3, 5, 6, 15, 30

d)

1, 30, 2, 15, 3, 10, 5, 6

32.

If c = 4 and d = 7, what is the value of 2c + d?

a)

31

b)

15

c)

51

d)

23

33.

If c = 5 and d = 8, what is the value of cd?

a)

13

b)

58

c)

40

d)

35

34.

Which of these equations would be a vertical line when drawn on a graph?

a)

y = x

b)

y = 3

c)

x = 3

d)

y = 0

35.

What is one quarter as a %?

a)

1.4%

b)

40%

c)

14%

d)

25%

36.

What is one-eighth as a percentage?

a)

18%

b)

0.18%

c)

0.125%

d)

12.5%

37.

How do you find the median of a set of numbers?

a)

Add them all together and divide by how many there are

b)

Biggest - smallest

c)

Most common

d)

Put in order, then find middle value

38.

The mean of 5 numbers is 7. Four of the numbers are 3, 10, 6 and 8. What is the fifth number?

a)

8

b)

7

c)

6

d)

5

39.

Complete the sentence. Angles on a straight line add up to

a)

90 degrees

b)

180 degrees

c)

270 degrees

d)

360 degrees

40.

Two angles in a triangle are 54o and 98o. What is the size of the third angle?

a)

48o

b)

38o

c)

28o

d)

18o

41.

Write an expression for three times a number n plus two

a)

n + 3 x 2

b)

n x 3 + 2

c)

2n + 3

d)

3n + 2

42.

Write an expression for a number n + 3 all multiplied by 2

a)

2(n + 3)

b)

(n + 3) x 2

c)

n3 x 2

d)

3n x 2

43.

Find the value of 3 + 42 x 2

a)

38

b)

19

c)

22

d)

35

44.

Which is correct?

a)

2 + 3 x 4 = 20

b)

52 - 3 x 2 = 44

c)

10 - (4 + 3) x 2 = -4

d)

5 + 32 x 2 = 17

45.

Which of these shapes has exactly two lines of symmetry?

a)

Square

b)

Trapezium

c)

Parallelogram

d)

Rectangle

46.

How many seconds are in three and a half minutes?

a)

150

b)

360

c)

230

d)

210

47.

What is two-thirds of 180?

a)

36

b)

60

c)

120

d)

150

48.

A recipe for 12 pancakes needs 4 eggs. How many eggs are needed for 18 pancakes?

a)

4

b)

6

c)

8

d)

10

49.

48 x 0.01 =

a)

4800

b)

0.48

c)

4.8

d)

0.048

50.

Divide 4.8 by 0.2

a)

0.24

b)

2.4

c)

24

d)

240

51.

23 + 11 =

a)

33

b)

34

c)

44

d)

24

52.

7 x 3 =

a)

21

b)

20

c)

35

d)

14

53.

14 - _ = 8

a)

7

b)

5

c)

6

d)

9

54.

_ x 9 = 45

a)

4

b)

6

c)

7

d)

5

55.

3 + 5 + 11 =

a)

18

b)

19

c)

20

d)

17

56.

2 x 3 x 5 =

a)

30

b)

28

c)

35

d)

26

57.

35 divided by 5 =

a)

Six

b)

Five

c)

Seven

d)

Nine

58.

Half of 26 =

a)

12

b)

15

c)

14

d)

13

59.

5 x 2 x 10 =

a)

200

b)

100

c)

50

d)

80

60.

55 x 10 =

a)

5.5

b)

55

c)

550

d)

505

61.
Reduce the following fraction:
16/20 =
a)
8/10
b)
4/5
c)
1/2
d)
16/20
62.
Reduce the following fraction:
36/44
a)
9/11
b)
6/7
c)
4/9
d)
18/22
63.
Solve:
-6 x (-5)
a)
-30
b)
36
c)
30
d)
-36
64.
Solve:
4+ (-5) - 6
a)
3
b)
5
c)
-5
d)
-7
65.
Change the following mixed number into an improper fraction:
3   4/5 =
a)
19/5
b)
12/5
c)
it already is an improper fraction
d)
32/5
66.
Please solve the addition problem and then simplify:
3/4 + 3/4
a)
1  1/2
b)
6/4
c)
3/2
d)
1  2/4
67.
Which picture shows 3/4?
a)
green
b)
blue
c)
purple
d)
pink
68.
1× 3 ⁄4 =
a)
38
b)
34
c)
12
d)
14
69.
3× 2=
a)
510
b)
65
c)
625
d)
15
70.
3÷ 1=
a)
32
b)
68
c)
38
d)
12
71.
2÷ 2=
a)
410
b)
25
c)
1
d)
5
72.
A pizza has 5 pieces. Sara eats 3 of the pieces. What fraction of the pizza did Sara eat?
a)
3/5
b)
2/5
c)
5/5
d)
1/5
73.
What does the denominator represent?
a)
the total number of pieces 
b)
the top number
c)
the focus or part
d)
the total number of pieces it takes to make 1 whole
74.
Compare 5/6 and 4/6
a)
5/6 > 4/6
b)
5/6 < 4/6
c)
5/6 = 4/6
75.
41× 32=
a)
1212
b)
332
c)
13
d)
16
76.
a)

5 1/2

b)

1 1/6

c)

5 5/14

d)

4 1 9/24

77.
a)
5 1/2
b)
1 1/6
c)
5 5/14
d)
4 19/24
78.
8/9 - 1/3 = 
a)
7/6
b)
5/9
c)
2/3
d)
8/27
79.
What is the difference of 7/8 - 1/3?
a)
6/5
b)
8/11
c)
6/8
d)
13/24
80.
What is 25% of 2 hours?
a)
45 minutes
b)
30 minutes
c)
0.3 hours
d)
0.5 minutes
81.
How much you can save?
a)
$25
b)
$50
c)
$100
d)
$125
82.
Eliza bought a meal that cost $ 12.00. She tipped the waiter 25% of that amount. How much was the tip?
a)
$ 15.00
b)
$ 12.25
c)
$3.00
d)
$4.00
83.
Mrs. Govande gave a difficult math test. 77% of her students in 4 classes passed it. If she has a total of 45 students, how many students passes. Round off to the nearest whole number.
a)
2
b)
3
c)
4
d)
5
84.
Reduce 360 by 10%
a)
342
b)
324
c)
328
d)
300
85.
A shop has an offer of 15% off cameras. 
If a camera cost £90 before the offer, what is the discount price?
a)
£86.50
b)
£76.50
c)
£78.50
d)
£82.50
86.
In the recipe of a lemonade 2 cups of sugar is needed for 3 lemons. How many lemons are needed for 6 cups of sugar?
a)
4
b)
6
c)
8
d)
9
87.
What is the ratio to the picture shown, triangles to squares?
a)
2:6
b)
5:6
c)
3:4
d)
4:3
88.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
89.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
90.
A person ate 2400 calories in a day.  Of these, 36% came from fat.  How many calories came from fat?
a)
984 - a water hose
b)
830 - a paintbrush
c)
1142 - a sponge
d)
864 - a roller
91.
In San Diego, the weather was sunny 83% of the days this past June.  How many days was it sunny? (June has 30 days.  Round your answer.)
a)
22 - the kitchen
b)
23 - the laundry room
c)
25 - the guest bedroom
d)
26 - the closet
92.
Harold took a total of 8 quizzes over the course of 2 weeks. How many weeks of school will Harold have to attend this quarter before he will have taken a total of 20 quizzes?
a)
5 weeks
b)
6 weeks
c)
7 weeks
d)
8 weeks
93.
Suppose a class has 14 redheads, 8 brunettes, and 6 blondes.  What is ratio of blondes to total students? Write your answer in simplest form. 
a)
6/28
b)
6/20
c)
3/14
d)
3/10
94.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
95.
What is the y-intercept of the line?
a)
 (0,1/2)
b)
(0,1)
c)
(0, -1/2)
d)
(0, -1)
96.
What are the x- and y- intercepts, respectively, on this graph?
a)
(0,5), (0,5)
b)
(5,0), (5,0)
c)
(5,0), (0,5)
d)
(0,0), (5,0)
97.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4
d)
4
98.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
99.

Write the number 3,400,000 in standard form

a)

3.4 × 106

b)

3.4 × 107

c)

34 × 105

d)

3.4 × 10-5

100.

Write the number 82,300,000 in standard form

a)

8.23 × 105

b)

8.23 × 106

c)

8.23 × 107

d)

8.23 × 108

101.

Write the number 0.00004 in standard form

a)

4 × 10-4

b)

4 × 104

c)

4 × 105

d)

4 × 10-5

102.

Write 7.4 × 10-5 as an ordinary number...

a)

0.000074

b)

740,000

c)

7,400,000

d)

0.0000074

103.
Write 2 x 2 x 2 x 2 in index form
a)
23
b)
25
c)
16
d)
24
104.
Write 6x 6as a single power
a)
7776
b)
66
c)
65
d)
365
105.
Write 95 ÷ 93 as a single power
a)
92
b)
98
c)
915
106.
Evaluate 2+ 32
a)
72
b)
36
c)
12
d)
17
107.
(3x2y3)2
a)
9x4y6
b)
3x4y5
c)
6x4y6
d)
9xy
108.
Find the area of this triangle.
a)
12 in2
b)
22 in2
c)
18 in2
d)
24 in2
109.
Find the area of this triangle.
a)
240 ft2
b)
56 ft2
c)
66 ft2
d)
120 ft2
110.
Find the perimeter of this triangle.
a)
150 ft
b)
100 ft
c)
20 ft
d)
35 ft
111.
Find the area
a)
37.68 ft2
b)
18.84 ft2
c)
113.04 ft2
d)
9.42 ft2
112.
What is the area of this circle?
a)
50.24 cm2
b)
78.23 cm2
c)
98.12 cm2
d)
200.96 cm2
113.
What is the area of the rectangle?
a)
15 sq cm
b)
15 cm
c)
16 sq cm
d)
16 cm
114.
Find the area of the quadralateral. 
a)
17 cm2
b)
40 cm2
c)
26 cm2
d)
60 cm2
115.
Find the area
a)
41 yd2
b)
45 yd2
c)
44 yd2
d)
43 yd2
116.
a)
54 cm2
b)
45 cm2
c)
63 cm2
d)
36 cm2
117.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
118.
Find the area of the figure
a)
43 sq inches
b)
102 sq inches
c)
37 inches
d)
90 sq inches
119.
What is the area of the composite figure?
a)
144 m2
b)
111 m2
c)
45 m2
d)
70 m2
120.
The arrow shown is on a sign. What is the area of the arrow?
a)
17 in2
b)
40 in2
c)
52 in2
d)
61 in2
121.
Factorise 4x + 14
a)
2(2x+7)
b)
4(x+10)
c)
4(x+3)
d)
2(x+12)
122.
Factorise 8x + 12
a)
4(x+2)
b)
8(x+4)
c)
4(x+3)
d)
4(2x+3)
123.
Factorise fully 8x+32
a)
8(x+4)
b)
4(2x+16)
c)
2(4x+16)
d)
4(2x+8)
124.
Factorise: 12x2 + 15x
a)
6x(2x+3)
b)
3(x2+5x)
c)
4x(3x+5)
d)
3x(4x+5)
125.
Factorise fully: 18 - 6x
a)
3(2x - 3)
b)
3(6 - 2x)
c)
6(3 - x)
d)
6(x - 3)
126.

Expand and simplify the following quadratic expression...


(x + 3)(x + 2)

a)

x2 + 5x + 6

b)

x2 + 5x + 5

c)

x2 + 6x + 6

d)

x2 + 6x + 5

127.

Expand and simplify the following quadratic expression...


(x + 4)(x + 6)

a)

x2 + 10x + 24

b)

x2 + 10x + 10

c)

x2 + 24x + 10

d)

x2 + 24x + 24

128.

Expand and simplify the following quadratic expression...


(x + 3)(x + 8)

a)

x2 + 11x + 24

b)

x2 + 11x + 11

c)

x2 + 24x + 11

d)

x2 + 24x + 24

129.
Expand -2(x-2)
a)
-2x+4
b)
2x-4
c)
-2x-4
d)
2x-2
130.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

131.

Find the HCF of 8 and 24 ...

a)

2

b)

4

c)

6

d)

8

132.

Find the LCM of 8 and 24 ...

a)

24

b)

48

c)

32

d)

64

133.

Find the LCM of 5 and 8...

a)

40

b)

80

c)

20

d)

60

134.

what are the first 5 prime numbers in ascending order?

a)

2,3,4,5,11

b)

1,2,3,5,11

c)

2,3,5,7,11

d)

2,3,11,7,5

135.

Name the 5th prime number.

a)

2

b)

11

c)

5

d)

7

136.

Mrs. Evans has 120 crayons and 30 pieces of paper to give to her students. What is the largest number of students she can have in her class so that each student gets equal number of crayons and equal number of paper.

a)

LCM

b)

HCF

c)

None

137.

Rosa is making a game board that is 16 inches by 24 inches. She wants to use square tiles. What is the larges tile she can use?

a)

LCM

b)

HCF

c)

None

138.

Samantha has two pieces of cloth. One piece is 72 inches wide and the other piece is 90 inches wide. She wants to cut both pieces into strips of equal width that are as wide as possible. How wide should she cut the strips?

a)

HCF

b)

LCM

c)

None

139.

Two bikers are riding a circular path. The first rider completes a round in 12 minutes. The second rider completes a round in 18 minutes. If they both started at the same place and time and go in the same direction, after how many minutes will they meet again at the starting point?

a)

LCM

b)

HCF

c)

None

140.

I am planting 50 apple trees and 30 peach trees in rows. I want to mix the apple and peach trees in my rows, and I want each row to be the same. What is the maximum number of trees I can plant per row?

a)

LCM

b)

HCF

c)

None

141.

The number of students in three sections A, B, and C of class VI in The Millennium school are 30, 35 and 40. Find the minimum number of books required for the class library for equal distribution in section A, B and C.

a)

LCM

b)

HCF

c)

None

142.

Which unit would you use to measure the distance travelled to the next city?

a)

Centimetres

b)

Kilograms

c)

Litres

d)

Kilometres

143.

Which of these would be measured in kilograms?

a)

The weight of a bag of apples

b)

The length of a stick

c)

The volume of water in a glass

d)

The distance to school from home

144.

How can we write 2 and half metres in decimals?

a)

2.005m

b)

2.05m

c)

2.5m

d)

205m

145.

How many metres in one kilometre?

a)

10 metres

b)

100 metres

c)

1,000 metres

d)

10,000 metres

146.

100 centimetres is equal to?

a)

Half a kilometre

b)

1 metre

c)

2 kilometres

d)

Half a metre

147.

Which of the following could be the height of your bedroom ceiling?

a)

500g

b)

2cm

c)

5.5km

d)

2.5m

148.

How many cm in 3.05m?

a)

0.305cm

b)

30.5cm

c)

35cm

d)

305cm

149.

How many grams in a kilogram?

a)

10g

b)

100g

c)

1,000g

d)

10,000g

150.

1,000 millilitres is equal to?

a)

10 litres

b)

1 litre

c)

1 pint

d)

10 pints

151.

Which unit would you use to measure the ingredients for a cake?

a)

Grams

b)

Kilometres

c)

Centimetres

d)

Metres