Keystones — Capstone
Five GCSE retrieval questions · 4 January 2017 · mathsvault.uk/keystones
-
1. Number Simplifying surds
Simplify: 4√175
Answer: 20√7 -
2. Algebra Completing the square
Complete the square: x² - 9x - 8
Answer: (x - 9⁄2)² - 113⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 18cm, b = 17cm, angle = 58°. Give your answer to 2 decimal places
Answer: 129.75cm² -
4. Ratio Combining two ratios
a:b is 6:7 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 30:35:63 -
5. Statistics Averages and range
Find the mean, median and range of: 41, 78, 32, 46, 48, 77, 90. Give your answer to 2 decimal places
Answer: Mean = 58.86, Median = 48, Range = 58