GCSE Mathematics (9-1)
  1. Mina is 4 years older than Sam. Their ages total 30 years. Find both ages.
  2. A rectangle has width xx cm and length (x+3)(x+3) cm. Its perimeter is 34 cm. Find its dimensions.
  3. An adult ticket costs £8 more than a child ticket. One adult and two child tickets cost £35. Find each price.
  4. A taxi charge is £3 plus £2 per kilometre. The total is £19. How far was the journey?
  5. Three consecutive integers have a total of 72. Find them.
  6. A 30 cm wire is cut into two pieces. One piece is 6 cm longer. Find each length.
  7. Plan A costs £5 plus £0.10 per text. Plan B costs £11. How many texts make the costs equal?
  8. Four times a number, then subtract 7, gives 29. Find the number.
  9. A number is multiplied by 3, then 5 is added. This equals twice the number plus 14. Find the number.
Answers and concise solutions

1. Mina is 4 years older than Sam. Their ages total 30 years. Find both a

Answer: Sam is 1313 and Mina is 1717.

2. A rectangle has width xx cm and length (x+3)(x+3) cm. Its perimeter is 3

Answer: Width 77 cm; length 1010 cm.

3. An adult ticket costs £8 more than a child ticket. One adult and two c

Answer: Child £9; adult £17.

4. A taxi charge is £3 plus £2 per kilometre. The total is £19. How far w

Answer: The journey was 88 km.

5. Three consecutive integers have a total of 72. Find them.

Answer: The integers are 2323, 2424 and 2525.

6. A 30 cm wire is cut into two pieces. One piece is 6 cm longer. Find ea

Answer: The pieces are 1212 cm and 1818 cm.

7. ''Plan A costs £5 plus £0.10 per text. Plan B costs £11. How many texts ''

Answer: At 6060 texts, both plans cost £11.

8. Four times a number, then subtract 7, gives 29. Find the number.

Answer: 99.

9. A number is multiplied by 3, then 5 is added. This equals twice the nu

Answer: 99.

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