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Third-Space-Learning-BIDMAS-GCSE-Worksheet

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GCSE Maths Revision | Number
BIDMAS - Worksheet
Skill
Group A - Four operations
Work out:
1) 20 + 5 × 3
2) 20 × 5 + 3
3) 20 − 5 × 3
4) 20 × 5 − 3
5) 20 ÷ 5 + 3
6) 20 ÷ 5 − 3
7) 20 + 5 − 3
8) 20 − 5 + 3
9) 20 ÷ 5 × 3
10) 20 × 8 ÷ 4
11) 20 + 8 ÷ 4
12) 20 − 8 ÷ 4
Group B - Brackets and indices
Work out:
1) 20 + (5 × 3)
2) (20 + 5) × 3
3) (20 − 5) × 3
4) 20 ÷ (5 − 3)
5) 20 + (5 − 3)
6) 20 × (8 ÷ 4)
7) (20 + 8) ÷ 4
8) 20 + 5 × 3
2
2
10) 20 × 5 + 3
11) 20 × (5 + 3)
2
9) 20 + 5 × 3
2
3
12) 20 × 5 + 3
Group C - All operations and fractions
Work out:
1) 4 × 5 + 3 × 2
2
4) 4 × 5 + (3 × 2)
7) 4 × 5 ÷ 2 × 3
2
(5 × 6)
10)
6+4
2) 4 × 5 − 3 × 2
2
3) 4 × 5 + (3 × 2)
5) 30 ÷ 5 + (3 + 2)
8)
3+7
6−4
2
6) 30 ÷ 5 + (6 − 2)
9)
2
5+6
11)
6−4
2
2
5×6
6+4
12) (
5×6 2
)
6+4
© Third Space Learning 2021. You may photocopy this page.
1
GCSE Maths Revision | Number
BIDMAS - Worksheet
Applied
1)
(a)
Sarah works out a solution to the calculation below:
15 − 4 + 7
Her solution is 4.
Identify the error she has made and work out the correct solution.
(b)
Jasmine works out a solution to the calculation below:
2
3 × 4
Her solution is 144.
Identify the error she has made and work out the correct solution.
2)
(a)
Insert brackets to make this calculation correct.
5 + 2 × 6 − 1 = 35
(b)
Insert brackets to make this calculation correct.
2
10 − 3
3)
(a)
+ 2 = 51
Insert the correct operations into the boxes below to make this
calculation correct.
10 ___ 7 ____ 2 = 24
(b)
Insert the correct operations into the boxes below to make this
calculation correct.
20 ___ 8 ____ 2 = 16
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GCSE Maths Revision | Number
BIDMAS - Worksheet
4)
Match the equivalent calculations
© Third Space Learning 2021. You may photocopy this page.
3
GCSE Maths Revision | Number
BIDMAS - Exam Questions
1)
(a)
Work out 8 + 3 × 5
….……………
(1)
(b)
2
Work out 10 − 12 ÷ 3
….……………
(2)
(3 marks)
Write brackets ( ) in this statement to make each statement
correct. You may use more than one pair of brackets in each
statement.
2)
(a)
7 + 2 × 4 = 36
(1)
(b)
3)
(1)
(2 marks)
6 × 8 ÷ 2 + 4 = 8
2
Here is a calculation: 15 + 4 × 3
Ahmed calculates the answer to be 159.
Is Ahmed correct? Explain your reasons.
….……………
(2 marks)
2
4)
10+ 5
Work out:
0.5 × 14
….……………
(2 marks)
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GCSE Maths Revision | Number
BIDMAS - Answers
Question
Answer
Skill Questions
Group A
Group B
Work out:
1) 20 + 5 × 3
1) 35
2) 20 × 5 + 3
2) 103
3) 20 − 5 × 3
3) 5
4) 20 × 5 − 3
4) 97
5) 20 ÷ 5 + 3
5) 7
6) 20 ÷ 5 − 3
6) 1
7) 20 + 5 − 3
7) 22
8) 20 − 5 + 3
8) 18
9) 20 ÷ 5 × 3
9) 12
10) 20 × 8 ÷ 4
10) 40
11) 20 + 8 ÷ 4
11) 22
12) 20 − 8 ÷ 4
12) 18
Work out:
1) 20 + (5 × 3)
1) 35
2) (20 + 5) × 3
2) 75
3) (20 − 5) × 3
3) 45
4) 20 ÷ (5 − 3)
4) 10
5) 20 + (5 − 3)
5) 22
6) 20 × (8 ÷ 4)
6) 40
7) (20 + 8) ÷ 4
7) 7
2
8) 65
9) 20 + 5 × 3
9) 95
8) 20 + 5 × 3
2
2
10) 109
10) 20 × 5 + 3
11) 20 × (5 + 3)
3
12) 20 × 5 + 3
2
11) 1280
12) 127
© Third Space Learning 2021. You may photocopy this page.
5
GCSE Maths Revision | Number
BIDMAS - Answers
Group C
Work out:
1) 4 × 5 + 3 × 2
1) 26
2) 4 × 5 − 3 × 2
2) 14
3) 4 × 5 + (3 × 2)
2
2
3) 56
2
4) 136
4) 4 × 5 + (3 × 2)
5) 30 ÷ 5 + (3 + 2)
2
5) 31
6) 30 ÷ 5 + (6 − 2)
2
6) 22
7) 4 × 5 ÷ 2 × 3
8)
3+7
6−4
8) 5
9)
5×6
6+4
9) 3
2
(5 × 6)
10)
6+4
2
5+6
11)
6−4
12) (
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7) 30
5×6 2
)
6+4
10) 90
11) 20. 5
12) 9
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GCSE Maths Revision | Number
BIDMAS - Answers
Question
Answer
Applied Questions
1)
a) Sarah works out a solution to the
calculation below: 15 − 4 + 7
Her solution is 4.
Identify the error she has made and
work out the correct solution.
a) She has applied BIDMAS and added
b) Jasmine works out a solution to the
b) She has not calculated the power first
2
calculation below: 3 × 4
Her solution is 144.
Identify the error she has made and
work out the correct solution.
2)
before subtracting but subtraction
and addition have equal priority so
the solution is 18 as you work left to
right.
so the solution is
3 × 16 = 48.
a) Insert brackets to make this calculation a) (5 + 2) × (6 − 1) = 35
correct. 5 + 2 × 6 − 1 = 35
b) Insert brackets to make this calculation b) (10 − 3)2 + 2 = 51
2
correct. 10 − 3 + 2 = 51
3)
4)
a) Insert the correct operations into the
boxes below to make this calculation
correct. 10 ___ 7 ____ 2 = 24
a) 10 + 7 × 2 = 24
b) Insert the correct operations into the
boxes below to make this calculation
correct.
20 ___ 8 ____ 2 = 16
b) 20 − 8 ÷ 2 = 16
Match the equivalent calculations
© Third Space Learning 2021. You may photocopy this page.
7
GCSE Maths Revision | Number
BIDMAS - Answers
Question
Answer
Exam Questions
1) (a) Work out 8 + 3 × 5
(b) Work out 102 − 12 ÷ 3
2) (a) Write brackets ( ) in this statement to
(a) 23
(1)
(b) 100 − 12 ÷ 3
(1)
100 − 4
96
(1)
(a) (7 + 2) × 4 = 36
(1)
make each statement correct. You may
use more than one pair of brackets in
each statement.
7 + 2 × 4 = 36
(b) 6 × 8 ÷ 2 + 4 = 8
3)
4)
(b) (6 × 8) ÷ (2 + 4) = 8
2
Here is a calculation. 15 + 4 × 3
Ahmed calculates the answer to be
159. Is Ahmed correct? Explain your
reasons.
or 6 × 8 ÷ (2 + 4) = 8
(1)
Ahmed is wrong.
He has done 4 × 3 before calculating the
power oe or 15 + 4 × 9 = 51
(1)
35
7
(1)
2
10+ 5
Work out
0.5 × 14
5
(1)
(1)
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