Master Arithmetic Skills: Online Quizzes for Year 11 Maths

Question 1

Calculate the result of 245 plus 364 minus 198:

Accepted Answer

611

Answer

511

Answer

411

Answer

311

Question 2

Which of the following is a prime number?

Accepted Answer

17

Answer

9

Answer

12

Answer

20

Question 3

Round 34.56 to the nearest whole number

Accepted Answer

35

Answer

34

Answer

36

Answer

37

Question 4

A train leaves London at 10:30 am and arrives in Manchester at 1:45 pm. How long is the journey?

Accepted Answer

2 hours 30 minutes

Answer

2 hours

Answer

3 hours

Answer

3 hours 30 minutes

Question 5

Which of the following is an approximation of the value of the mathematical constant π, rounded to two decimal places?

Accepted Answer

3.14

Answer

3.2

Answer

2.71

Answer

3.5

Question 6

Write the expanded form of the number 456.

Accepted Answer

400 + 50 + 6

Answer

40 + 50 + 60

Answer

4000 + 500 + 60

Answer

4 + 5 + 6

Question 7

Which of the following is an example of an improper fraction?

Accepted Answer

7/3

Answer

1/2

Answer

3/4

Answer

5/5

Question 8

Simplify the ratio 12:18.

Accepted Answer

2:3

Answer

3:4

Answer

4:5

Answer

5:6

Question 9

What is the result of 123 + 456 - 234?

Accepted Answer

445

Answer

345

Answer

545

Answer

645

Question 10

Find the value of x in the equation: 3x - 12 = 24

Accepted Answer

10

Answer

8

Answer

12

Answer

14

Question 11

What is the area of a triangle with a base of 8 cm and a height of 6 cm?

Accepted Answer

24 cm²

Answer

12 cm²

Answer

36 cm²

Answer

48 cm²

Question 12

Simplify the expression: 2(x + 3) - 5

Accepted Answer

2x - 5

Answer

2x + 1

Answer

2x + 5

Answer

2x - 1

Question 13

Find the mean of the following set of numbers: 12, 15, 18, 20, 22

Accepted Answer

17

Answer

16

Answer

18

Answer

19

Question 14

Estimate the value of 3.14159 to the nearest tenth.

Accepted Answer

3.1

Answer

3

Answer

3.2

Answer

3.3

Question 15

Convert 0.85 to a percentage.

Accepted Answer

85%

Answer

8.5%

Answer

850%

Answer

8500%

Question 16

Which of the following represents the correct order of operations?

Accepted Answer

Brackets, Multiplication and Division, Addition and Subtraction

Answer

Brackets, Multiplication and Division, Subtraction and Addition

Answer

Multiplication and Division, Brackets, Addition and Subtraction

Answer

Multiplication and Division, Brackets, Subtraction and Addition

Question 17

Subtract 125 from 475.

Accepted Answer

325

Answer

350

Answer

375

Answer

425

Question 18

Which of the following is the best approximation for the value of π?

Accepted Answer

3.14

Answer

2

Answer

22/7

Answer

3

Question 19

Estimate the sum of 457 and 234 by rounding both numbers to the nearest hundred.

Accepted Answer

700

Answer

600

Answer

800

Answer

900

Question 20

Which mental method for multiplying two-digit numbers involves breaking the numbers down into parts?

Accepted Answer

Chunking

Answer

Column multiplication

Answer

Grid multiplication

Answer

Expanded multiplication

Question 21

Which property of arithmetic operations describes the equation 3 + (4 + 5) = (3 + 4) + 5?

Accepted Answer

Associative property of addition

Answer

Commutative property of addition

Answer

Distributive property of multiplication over addition

Answer

Identity property of multiplication

Question 22

Which method can be used to verify division answers?

Accepted Answer

Multiply the divisor and quotient.

Answer

Subtract the divisor from the dividend.

Answer

Divide the dividend by the divisor.

Answer

Add the dividend to the divisor.

Question 23

What is the prime factor decomposition of 12?

Accepted Answer

2 x 2 x 3

Answer

3 x 4

Answer

2 x 6

Answer

1 x 12

Question 24

Which of the following is NOT a characteristic property of a parallelogram?

Accepted Answer

Adjacent sides are perpendicular

Answer

Opposite sides are parallel

Answer

Opposite angles are equal

Answer

Diagonals bisect each other

Question 25

What is the area of a circle with a radius of 5 centimeters?

Accepted Answer

20π cm²

Answer

10π cm²

Answer

25π cm²

Answer

50π cm²

Question 26

In estimating the product of two numbers using rounding, what should be done first?

Accepted Answer

Round both numbers to the nearest multiple of ten.

Answer

Round both numbers to the nearest multiple of a hundred.

Answer

Round both numbers to the nearest multiple of a thousand.

Answer

Round one number to the nearest multiple of ten and the other to the nearest multiple of a hundred.

Question 27

Which of the following is NOT a factor of 18?

Accepted Answer

7

Answer

2

Answer

3

Answer

6

Question 28

What is the correct order of operations for the expression: 3 + 2 × (4 - 1)?

Accepted Answer

Brackets first, then multiplication, then addition

Answer

Multiplication first, then brackets, then addition

Answer

Addition first, then multiplication, then brackets

Answer

Addition first, then brackets, then multiplication

Question 29

Estimate the difference between 573 and 248 by rounding to the nearest hundred.

Accepted Answer

325

Answer

275

Answer

375

Answer

425

Question 30

Calculate the sum of 567 and 345.

Accepted Answer

912

Answer

822

Answer

722

Answer

1012

Question 31

Divide 864 by 12 and find the quotient.

Accepted Answer

72

Answer

68

Answer

84

Answer

78

Question 32

Which of the following represents the prime factorization of 28?

Accepted Answer

2 x 2 x 7

Answer

2 x 3 x 5

Answer

2 x 4 x 7

Answer

3 x 7 x 7

Question 33

What is the correct order of operations for evaluating mathematical expressions? (BODMAS/PEMDAS)

Accepted Answer

Brackets, Exponents, Multiplication, Division, Addition, Subtraction

Answer

Exponents, Brackets, Multiplication, Division, Addition, Subtraction

Answer

Multiplication, Division, Brackets, Exponents, Addition, Subtraction

Answer

Addition, Subtraction, Multiplication, Division, Brackets, Exponents

Question 34

Find the sum of three hundred and forty-five (345) and seven hundred and eighty-nine (789).

Accepted Answer

1134

Answer

1034

Answer

1234

Answer

1334

Question 35

Which written method is most suitable for multiplying large numbers?

Accepted Answer

Standard algorithm

Answer

Lattice method

Answer

Grid method

Answer

Partial products method

Question 36

Simplify the expression (a + b)².

Accepted Answer

a² + 2ab + b²

Answer

a² + b²

Answer

2ab + a² + b²

Answer

4ab

Question 37

To add two fractions with different denominators, which method should be used?

Accepted Answer

Multiply the numerator of each fraction by the denominator of the other fraction and add the results.

Answer

Multiply the denominator of each fraction by the numerator of the other fraction and add the results.

Answer

Add the numerators and denominators separately.

Answer

Subtract the numerators and denominators separately.

Question 38

Calculate the value of 125 - (35 × 2).

Accepted Answer

100

Answer

150

Answer

200

Answer

250

Question 39

Determine the product of 12 and 15.

Accepted Answer

240

Answer

180

Answer

210

Answer

270

Question 40

How do you subtract a decimal from a whole number correctly?

Accepted Answer

Add a zero before the decimal point of the whole number, then subtract.

Answer

Add a decimal point after the whole number, then subtract.

Answer

Multiply the whole number by 10, then subtract the decimal.

Answer

Divide the whole number by 10, then subtract the decimal.

Question 41

What is the result of 0.5 × 0.2?

Accepted Answer

0.01

Answer

0.05

Answer

0.1

Answer

0.5

Question 42

Express 1000 in scientific notation format.

Accepted Answer

1 × 10^3

Answer

10 × 10^2

Answer

100 × 10^1

Answer

1000 × 10^0

Question 43

Divide 125 by 12 to find the remainder.

Accepted Answer

7

Answer

1

Answer

5

Answer

11

Question 44

Convert 100 centimetres to metres.

Accepted Answer

1 metre

Answer

0.1 metres

Answer

10 metres

Answer

100 metres

Question 45

Which formula is used to calculate the volume of a cube?

Accepted Answer

V = lwh

Answer

V = πr³

Answer

V = 4/3πr³

Answer

V = 2πrh

Question 46

Multiply 0.6 by 0.8.

Accepted Answer

0.48

Answer

1.4

Answer

0.14

Answer

4.8

Question 47

Calculate the area of a rectangle with a length of 6 cm and a width of 4 cm.

Accepted Answer

24 cm²

Answer

10 cm²

Answer

36 cm²

Question 48

Find the volume of a cube with an edge length of 3 cm.

Accepted Answer

27 cm³

Answer

81 cm³

Answer

9 cm³

Answer

216 cm³

Question 49

A grocery store sells apples for £1.20 per apple. How much would it cost to buy 5 apples?

Accepted Answer

£6.00

Answer

£12.00

Answer

£5.40

Answer

£7.20

Question 50

A recipe requires 250g of flour, but you only have a 100g measuring cup. How many times will you need to fill the cup to get the required amount?

Accepted Answer

2.5

Answer

3

Answer

2

Answer

4

Question 51

Estimate the sum of 47.8 and 12.3 to the nearest 10.

Accepted Answer

60

Answer

80

Answer

50

Answer

70

Question 52

Calculate the difference between 345 and 189.

Accepted Answer

156

Answer

246

Answer

256

Answer

146

Question 53

A train departs at 10:30 am and arrives at 1:15 pm. How long is the journey?

Accepted Answer

2 hours 45 minutes

Answer

2 hours 15 minutes

Answer

3 hours 15 minutes

Answer

3 hours 45 minutes

Question 54

Find the product of 12 and 8.

Accepted Answer

96

Answer

108

Answer

72

Answer

84

Question 55

A car travels at 60 miles per hour. How far will it travel in 3 hours?

Accepted Answer

180 miles

Answer

360 miles

Answer

240 miles

Answer

120 miles

Question 56

A shop is offering a 20% discount on all items. If a shirt originally costs £25, what is the discounted price?

Accepted Answer

£20

Answer

£30

Answer

£22

Answer

£28

Question 57

Which of the following numbers is prime?

Accepted Answer

17

Answer

21

Answer

12

Answer

24

Question 58

Find the average of 10, 15, and 20.

Accepted Answer

15

Answer

20

Answer

10

Answer

25