GCSE · Rounding & bounds

EstimationExam-style questions

Why estimating means rounding everything to 1 significant figure BEFORE calculating, how to divide by decimals cleanly, and how to reason about whether an estimate is an over- or underestimate.

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15 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Work out an estimate for the value of $\dfrac{612 \times 0.48}{0.19}$

You must show your working.
Level 4 · 3 marksTry it
2
(a) Work out an estimate for 21% of 4130.

(b) Without further calculation, state whether your answer is an overestimate or an underestimate. Give a reason.
Level 4 · 3 marksTry it
3
Work out an estimate for the value of $\dfrac{5.86}{0.021}$

You must show your working.
Level 4 · 2 marksTry it
4
Tickets for a play cost £ $3.95$ each.

A teacher buys $28$ tickets.

(a) Work out an estimate for the total cost.

(b) Without further calculation, state whether your estimate is an overestimate or an underestimate. Give a reason.
Level 4 · 3 marksTry it