1.

Change 498 to Roman Numerals

a)

DCLXXX

b)

CDXCVIII

c)

CDCXVI

d)

DCLXXVII

2.

Which of the following is a perfect square?

a)

54

b)

70

c)

99

d)

121

3.

Simplify √ 1¹¹/²⁵

a)

7⅕

b)

1⅕

c)

⅚

d)

⅓

4.

Find the value of 4+√16-3

a)

4

b)

6

c)

5

d)

3

5.

If the price of a pair of sandals is reduced from #2000 to #1500 how much is reduced

a)

#1500

b)

#2500

c)

#500

d)

#750

6.

The addition of 8¼ to a certain number gives 10½, find the number

a)

5½

b)

2¾

c)

1⅓

d)

2¼

7.

A boy needs 2½ meters of cloth to make his uniform. How many meters of cloth will be needed for 5 boys using the same measurement?

a)

12½

b)

7½

c)

5½

d)

3½

8.

Josephine has 12½m length of rope, she divides it into 2 equal parts, what is the length of each parts?

a)

3⅓

b)

2⅔

c)

6¼

d)

7⅖

9.

A trader bought a basket of tomatoes for #10,000 and paid 5% as tax. How much did he pay as tax?

a)

#500

b)

#1000

c)

#1500

d)

#5000

10.

100 envelopes cost #1,000. What will be the cost of 650 envelopes?

a)

#1,000

b)

#6,500

c)

#3,200

d)

#5,000

11.

Find the value of x in the equation X/5=24/40

a)

12

b)

3

c)

9

d)

6

12.

If 20% discount is given on an article which cost #20,000, how much will a buyer pay for the article?

a)

#15,000

b)

#16,000

c)

#10,000

d)

#4,000

13.

Which of the following is divisible by 8 without a remainder?

a)

38

b)

25

c)

84

d)

64

14.

Find the value of X, if 6x+7=25

a)

3

b)

5

c)

6

d)

12

15.

Ochuko is 32 years old and his sister is 14 years old. What was the sum of their ages 5 years ago?

a)

66 years

b)

36 years

c)

46 years

d)

18 years

16.

Which of the following numbers, 29, 33, 49, 57, 69 is a prime number?

a)

29

b)

33

c)

49

d)

57

17.

Find the value of X+2⅓=2

a)

5/3

b)

2/3

c)

1/3

d)

-1/3

18.

Simplify 2a+b, when a=3 and b=-2

a)

2

b)

3

c)

4

d)

5

19.

If X:2=12:4, find the value of X

a)

5

b)

6

c)

8

d)

4

20.

Calculate the volume of a cylinder whose radius is is 3cm and perpendicular height 7cm.

Take π=22/7

a)

132cm³

b)

144cm³

c)

162cm³

d)

198cm³

21.

What is the square root of 64?

a)

10

b)

8

c)

12

d)

6

22.

What is the sum of the interior angles of a triangle?

a)

90 degrees

b)

180 degrees

c)

270 degrees

d)

360 degrees

23.

Which type of triangle has all sides of equal length?

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Right

24.

What is the formula for the area of a circle?

a)

π r

b)

2 π r

c)

π r 2

d)

π r ²

25.

What is the formula for the circumference of a circle?

a)

2πr

b)

πr²

c)

πr

d)

2πr²

26.

Which type of triangle has one angle of 90 degrees?

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Right

27.

What is the value of π (pi) approximately equal to?

a)

3.14

b)

2.71

c)

1.61

d)

4.29

28.

What is the formula for the volume of a cylinder?

a)

πr²h

b)

2πrh

c)

πr²

d)

πrh

29.

What is the sum of the interior angles of a quadrilateral?

a)

180 degrees

b)

360 degrees

c)

270 degrees

d)

90 degrees

30.

Express the whole number 4002 in words.

a)

Forty-Two

b)

Four-two

c)

Four hunderd and two

d)

Four thousand and two

31.

What is the number form of the nine million, four thousand, two hundred and twenty

a)

94220

b)

9004220

c)

9000000400020020

d)

9004202

32.

What is the place value of 7 in the number 6.723?

a)

7

b)

70

c)

0.7

d)

0.07

33.

Which digit is in the hundredths place in the number 3.456?

a)

3

b)

4

c)

5

d)

6

34.

What is the place value of 5 in the number 8,573?

a)

5

b)

50

c)

500

d)

5,000

35.

Which digit is in the ten thousands place in the number 72,984?

a)

2

b)

7

c)

9

d)

8

36.

Express the whole number 345,678 in words.

a)

Three hundred forty-five thousand six hundred seventy-eight

b)

Thirty-four thousand five hundred sixty-eight

c)

Three hundred fifty-four thousand six hundred seventy-eight

d)

Three hundred forty-five thousand sixty-eight

37.

What is the median of the following set of numbers: 5, 7, 9, 10, 12?

a)

7

b)

9

c)

10

d)

12

38.

Calculate the mode of the data set: 3, 5, 7, 5, 9, 5, 12, 5

a)

3

b)

5

c)

7

d)

12

39.

Calculate the range of the data set: 18, 25, 30, 12, 20, 15

a)

15

b)

20

c)

18

d)

30

40.

What is the mean of the numbers 6, 6, 9, 12, 15, 18?

a)

9

b)

10

c)

11

d)

12

41.

What is the formula to calculate simple interest?

a)

Principal x Rate x Time

b)

Principal / Rate / Time

c)

Principal + Rate + Time

d)

Principal - Rate - Time

42.

If the principal amount is $350, the interest rate is 5%, and the time period is 4 years, what is the simple interest?

a)

$70

b)

$100

c)

$150

d)

$200

43.

What is the total amount after a year if the principal is $1000 and the simple interest is $150?

a)

$1150

b)

$1200

c)

$1350

d)

$1500

44.

Calculate the area of a triangle with base 12 units and height 15 units.

a)

90 square units

b)

30 square units

c)

36 square units

d)

40 square units

45.

Find the perimeter of a square with side length 9cm

a)

15 cm

b)

36 cm

c)

25 cm

d)

30 cm

46.

Determine the area of a rectangle with length 10cm and breadth 4cm.

a)

24 square centimeter

b)

36 square centimeter

c)

40 square centimeter

d)

44 square centimeter

47.

If the ratio of apples to oranges in a basket is 4:5, and there are 48 oranges, how many apples are there?

a)

28

b)

60

c)

40

d)

45

48.

Express the ratio 15:25 in its simplest form.

a)

3:5

b)

5:3

c)

2:3

d)

3:2

49.

Convert the fraction 3/5 into a decimal.

a)

0.6

b)

0.5

c)

0.75

d)

0.4

50.

Calculate the product of 3.5 and 2.5.

a)

8.75

b)

7.5

c)

6.25

d)

5.0

51.

What is 25% of 80?

a)

15

b)

20

c)

25

d)

30

52.

How many faces does a cube have?

a)

4

b)

6

c)

8

d)

10

53.

What is the definition of an acute angle?

a)

An angle that measures exactly 90 degrees

b)

An angle that measures less than 90 degrees

c)

An angle that measures more than 90 degrees

d)

An angle that measures exactly 180 degrees

54.

What is the formula to convert centigrade to Fahrenheit?

a)

F = (C x 9/5) + 32

b)

F = (C - 32) x 5/9

c)

F = C + 273.15

d)

F = C x 1.8

55.

If the temperature is 20 degrees Celsius, what is the equivalent in Fahrenheit?

a)

68°F

b)

50°F

c)

86°F

d)

32°F

56.

A shape of area 4cm² is enlarged by scale factor 3. What is the area of the enlarged shape?

a)

12cm²

b)

7cm²

c)

36cm²

d)

12cm

57.

Write 64 pence as a fraction of £2 in its lowest terms?

a)

64/200

b)

4/12

c)

8/25

d)

16/50

58.

Write ⅝ as a decimal.

a)

0.58

b)

0.625

c)

5.8

d)

0.63

59.

Calculate 60% of $4.50

a)

$2.20

b)

$2.7

c)

$2.70

d)

$2.2

60.

Calculate ¾ of 3 kilograms. Give your answer in grams.

a)

225g

b)

2250g

c)

2.25kg

d)

2220g

61.

4 - 6 x 2 + 3²

a)

5

b)

3

c)

-1

d)

1

62.

Write 90 as a product of its prime factors using indices

a)

2 x 5 x 9

b)

2 x 3 x 3 x 5

c)

2² x 3² x 5

d)

2 x 3² x 5

63.

Necklaces are made using red, white and blue beads in the ratio 5:3:2. How man white beads are there if the number of red beads is 20?

a)

12

b)

15

c)

45

d)

8

64.

Simplify 4c - 3(5c - 4)

a)

-11c - 12

b)

-11c + 12

c)

-15c + 12

d)

-4c + 12

65.

A calf drinks ⅖ of a litre of milk everyday. How many days will it take the calf to drink 10 litres of milk?

a)

25

b)

10

c)

4

d)

18

66.

Factorise completely 18x - 45y

a)

3(6x - 15y)

b)

3(6x - 15)

c)

6(3x - 7y)

d)

9(2x - 5y)

67.

Given that a = -2, b = 5 and c = -1. Work out the value of

2b² - 5ac

a)

40

b)

110

c)

90

d)

60

68.

Solve 12 = 2b - 1

a)

5.5

b)

6.5

c)

6

d)

26

69.

If y = 12 - 2x, what is the value of x when y = 0?

a)

-6

b)

12

c)

6

d)

-12

70.

What is the size of each interior angle in a regular hexagon?

a)

108^o

b)

120^o

c)

125^o

d)

144^o

71.

What is the size of each exterior angle in a regular octagon?

a)

60^o

b)

90^o

c)

360^o

d)

45^o

72.

The table shows the scores received by pupils in a mental maths test. What was the modal score?

a)

7

b)

8

c)

9

d)

8 and 9

73.

A semi-circle has a diameter of 8cm. What is its area?

a)

16π

b)

8π

c)

64π

d)

32π

74.

The bearing of B from A is 120^o. What is the bearing of A from B?

a)

240^o

b)

300^o

c)

180^o

d)

320^o

75.

The point (3,5) is reflected in the line x = 1. What are the coordinates of the reflected point?

a)

(-3,-5)

b)

(-3,5)

c)

(-1,5)

d)

(-1,-5)

76.

Twelve million, seven hundred and seven is what in figures?

a)

12,707

b)

12,7007

c)

12,000,707

d)

12,700,707

77.

Find the square root of 2¼

a)

3/2

b)

1½

c)

2/1

d)

2/3

78.

Find the square root of 2¼

a)

3/2

b)

1½

c)

2/1

d)

2/3

79.

A bottle of coke cost #120. How many bottles can I buy with #960?

a)

5

b)

6

c)

8

d)

12

80.

If I spent 6/11 of my money on books, what fraction of it will remain?

a)

3/11

b)

4/11

c)

5/11

d)

6/11

81.

⅕ is equivalent to ______

a)

25%

b)

20%

c)

15%

d)

5%

82.

Which of the following is not a perfect square?

a)

49

b)

100

c)

65

d)

169

83.

The sum of 20 and 16 is divided by the product 6 and 2

a)

3

b)

5

c)

7

d)

12

84.

A lorry travels 336km in 6 hours. How far would it go in 9 hours?

a)

504km

b)

720km

c)

2016km

d)

950km

85.

A girl bought 3 sachet of detergent for #120. How much would she pay for 20 sachet?

a)

#600

b)

#360

c)

#800

d)

#1000

86.

Find 80% of #20

a)

#20

b)

#16

c)

#4

d)

#25

87.

Find the square root of 4/9

a)

1/2

b)

2/3

c)

2/5

d)

3/5

88.

Calculate the principal that will gain #100 in 4 years at 4% per annum

a)

#625

b)

#1000

c)

#800

d)

#400

89.

Calculate the simple interest on #6000 for 2½ years at 5% per annum

a)

#700

b)

#750

c)

#850

d)

#900

90.

Find the simple interest on #80000 for 4 years at 2% per annum

a)

#6400

b)

#5800

c)

#2000

d)

#8000

91.

Express 0.75 as a fraction

a)

3/5

b)

3/4

c)

2/4

d)

1/2

92.

Ade bought a book for #1000 and sold it for #800. Calculate his percentage loss.

a)

12%

b)

25%

c)

30%

d)

20%

93.

In a class there are 20 boys and 30 girls. Find the ratio of boys to girls

a)

2:3

b)

3:2

c)

1:2

d)

2:1

94.

Correct 0.002597 to 2 significant figures

a)

0.0026

b)

0.00259

c)

0.002690

d)

2600

95.

Add the value of 4 in 23,400 and 23.456

a)

800

b)

400.4

c)

40.04

d)

401.40

96.

2,947 in Roman Numerals is ______

a)

MCDVII

b)

MMCMXLVII

c)

MMCXLV

d)

MMCMLXVII

97.

Twelve million, seven hundred and seven is what in figures?

a)

12,707

b)

12,7007

c)

12,000,707

d)

12,700,707

98.

How many seconds make up 3½ minutes

a)

240

b)

210

c)

180

d)

120

99.

Write in figure;

twelve billion, one hundred and forty eight million, three hundred and two thousand, six hundred and four

a)

12, 421, 567, 604

b)

12, 148, 123,640

c)

12, 148, 302, 604

d)

12, 148, 320, 460

100.

Find the square root of 3^6/_²⁵

a)

1⅔

b)

1⅘

c)

2¼

d)

3⅔

101.

Bisi deposit #5000, if she is paid an interest of 5% per annum for 2 years. How much is the simple interest?

a)

#20

b)

#2000

c)

#500

d)

#5000

102.

Change 4½ days into hours

a)

120 hours

b)

360 hours

c)

450 hours

d)

108 hours

103.

One fourth of a number is 5, find the number

a)

10

b)

15

c)

20

d)

25

104.

In a class there are 30 boys and 45 girls, find the ratio of boys to girls

a)

2:4

b)

2:3

c)

1:3

d)

2:5

105.

A worker earns #4,000 per month, how much does he earn in ½ a year

a)

#24,000

b)

#12,000

c)

#2,000

d)

#4,000

106.

What must be subtracted from 3.10 to get 1.001

a)

2.009

b)

1.009

c)

3.002

d)

2.007

107.

Emeka bought 5 books at #40 each and sold them for #150. How much #150. How much was his loss

a)

#20

b)

#40

c)

#50

d)

#100

108.

Add bought a pair of shoes for #5,000 and sold it for #4,000 what is her percentage loss?

a)

20%

b)

10%

c)

30%

d)

40%

109.

What is the cost of 60 oranges of 4 cost #20

a)

#120

b)

#300

c)

#100

d)

#500

110.

What is the place value of 5 in 506.23

a)

Hundred

b)

Tens

c)

Unit

d)

Ones

111.

In a school there are 478 boys and 329 girls. What is the population of the school?

a)

890

b)

908

c)

987

d)

807

112.

Multiply 49.6 by 0.72

a)

10.782

b)

12.345

c)

35.712

d)

49.126

113.

Multiply 23.67 by 12

a)

213.08

b)

126.89

c)

125.67

d)

284.04

114.

Divide 2346 by 100

a)

23.46

b)

2.346

c)

0.2346

d)

234.6

115.

Divide 1324 by 1000

a)

1.324

b)

13.24

c)

132.4

d)

0.1324

116.

Write 2199 in Roman Numerals

a)

MCDLX

b)

MMDCC

c)

MMCXCIX

d)

MMCDXC

117.

Write 0.0025 as a fraction

a)

25/100

b)

25/10000

c)

25/10

d)

25/100000

118.

1, 4, 9, 16, ____

What will be the next number?

a)

20

b)

24

c)

25

d)

30

119.

The formula for calculating volume of a pyramid is______

a)

1/2 Bh

b)

1/3 Bh

c)

1/3 πr^2 h

d)

1/3 πr^3 h

120.

5% of 400 is _____

a)

40

b)

20

c)

30

d)

10

Mathematics Year 6

Total questions: 120

Worksheet time: 1hrs 27mins

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