Keystones Cornerstone — Jan 1 - 7 | Maths Vault

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Cornerstone Jan 1 - 7 25 questions

Monday 28 March 2022

Keystones #1 · Five questions · Open this day only

1. Number

17000000

Answer: 1.7 × 10⁷
2. Algebra

Solve: x + 4 = 20

Answer: x = 16
3. Geometry

Opposite = 8cm, hypotenuse = 16cm. Find the angle

Answer: 30° (approximately)
4. Ratio

Simplify the ratio 8:16

Answer: 1:2
5. Statistics

Find the mean of: 2, 12, 19, 12

Answer: 11.25

Tuesday 29 March 2022

Keystones #1 · Five questions · Open this day only

1. Number

500000

Answer: 5 × 10⁵
2. Algebra

Solve: 2x = 8

Answer: x = 4
3. Geometry

Calculate the area of a circle with diameter 24cm

Answer: 452.39cm²
4. Ratio

Calculate 50% of 22

Answer: 11
5. Statistics

Calculate the mean of: 23, 39, 20, 26, 29, 50

Answer: 31.2

Wednesday 30 March 2022

Keystones #1 · Five questions · Open this day only

1. Number

Calculate: ⁵⁄₁₀ + ²⁄₁₀

Answer: ⁷⁄₁₀
2. Algebra

Factorise: 5x² + 4x

Answer: x(5x + 4)
3. Geometry

Opposite = 11cm, hypotenuse = 22cm. Find the angle

Answer: 30° (approximately)
4. Ratio

Simplify the ratio 20:15

Answer: 4:3
5. Statistics

Calculate the range of: 49, 124, 54, 126, 87, 84

Answer: 77

Thursday 31 March 2022

Keystones #1 · Five questions · Open this day only

1. Number

Calculate: 934 + 502

Answer: 934 + 502 = 1436
2. Algebra

Find the next term: 15, 19, 23, 27, ...

Answer: 31
3. Geometry

Calculate the hypotenuse when a = 3cm and b = 9cm

Answer: 9.49cm
4. Ratio

Calculate 10% of 110

Answer: 11
5. Statistics

Find the mean of: 9, 2, 6, 19

Answer: 9

Friday 1 April 2022

Keystones #1 · Five questions · Open this day only

1. Number

Calculate: 87 + 75

Answer: 87 + 75 = 162
2. Algebra

Find the next term: 21, 26, 31, 36, ...

Answer: 41
3. Geometry

Calculate the area of a circle with diameter 15cm

Answer: 176.71cm²
4. Ratio

Simplify: 24:20:20

Answer: 6:5:5
5. Statistics

Find the mean of: 5, 14, 11

Answer: 10