Quick Mental Checks: Challenge & Extension

Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on quick mental checks for estimating calculations, designed for GCSE Higher students to develop fluency, problem-solving, and reasoning skills.

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Full preview • 12 questions

Quick Mental Checks: Challenge & Extension

Subject: MathematicsGrade: GCSE Higher
Name:
Date:
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Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Estimate the value of 48 × 52 using mental approximation.
[2 marks]
2.
Quickly estimate the sum of 789 and 234.
[2 marks]
3.
Estimate the result of dividing 1234 by 12 to the nearest ten.
[2 marks]
4.
Construct a triangle with sides approximately 7, 9, and 11 units. Use the grid to draw and check the lengths.
[3 marks]
5.
Estimate the total weight of 8 boxes, each weighing about 4.7 kg.
[2 marks]
6.
A car travels at approximately 65 km/h. How far will it travel in 3 hours? Estimate the distance.
[3 marks]
7.
Estimate the result of 0.76 × 48.
[2 marks]
8.
Calculate approximately the value of 135 × 89 by rounding to the nearest ten before multiplying.
[3 marks]
9.
Estimate the total cost of 3 items costing approximately £19.75 each.
[2 marks]
10.
A rectangle has a length of about 14 units and a width of 9 units. Use the grid to estimate its area.
[3 marks]
11.
Identify and correct the mistake: Estimating 48 × 52 as 2500 instead of 2500 is an acceptable estimation.
[2 marks]
12.
Estimate the sum of 998 and 207. Explain your reasoning.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet