Robinson Tuition
Grade 3 · Foundation · free GCSE maths worksheet

Collecting like terms

Simplifying expressions such as 3a + 2b + a.

15 original questions, 33 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

Simplify  a + a + a + a

1 mark
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4a
2

Simplify  7c − 2c + 4c

1 mark
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9c
3

Simplify  6x + 3y − 2x + 5y

2 marks
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4x + 8y
4

Simplify  5x − 3 − 2x + 7

2 marks
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3x + 4
5

Simplify  4p + 7 − 6p − 2

2 marks
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-2p + 5
6
  1. Simplify  4 × 3h
  2. Simplify  9a + 2b − 3a + b
2 marks
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a) 12h b) 6a + 3b (accept 3b + 6a)
7

Simplify  7a + 2b − 3a − 5b + 4

2 marks
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4a - 3b + 4
8

Simplify  7pq − 2qp + 3pq

2 marks
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8pq
9

Simplify  (9y + 3y − 6y) ÷ 2

2 marks
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3y
10

A rectangle has a length of (3x + 2) cm and a width of (x + 5) cm.

Write down and simplify an expression for the perimeter of the rectangle.

3 marks
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8x + 14
11
  1. Simplify  5 × 2m
  2. Simplify  n × n × n × n
  3. Simplify  3c × 4d
3 marks
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a) 10m b) n4 c) 12cd
12

Simplify  3a2 + 2a − a2

2 marks
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2a2 + 2a
13
  1. Simplify  3 × 4x + 2x
  2. Simplify  2m × 3m + m2
3 marks
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a) 14x b) 7m2
14
  1. Simplify  8x + 5 − 3x + 2
  2. Simplify  2g × 5g
3 marks
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a) 5x + 7 (accept 7 + 5x) b) 10g2
15

Solve  3x + 4x − 5 = 16

3 marks
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x = 3

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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