Keystones Cornerstone — Jan 1 - 7 | Maths Vault

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Cornerstone Jan 1 - 7 25 questions

Monday 10 January 2022

Keystones #1 · Five questions · Open this day only

1. Number

Add: ⁵⁄₆ + ²⁄₈

Answer: ¹³⁄₁₂
2. Algebra

Solve: x + 6 = 18

Answer: x = 12
3. Geometry

Calculate the distance between (3, 6) and (6, 10)

Answer: 5
4. Ratio

Simplify the ratio 18:6

Answer: 3:1
5. Statistics

Find the mean of: 2, 9, 20, 11

Answer: 10.5

Tuesday 11 January 2022

Keystones #1 · Five questions · Open this day only

1. Number

Calculate: 93 + 36

Answer: 93 + 36 = 129
2. Algebra

Collect like terms: 3x + 3y + 5x + 4y

Answer: 8x + 7y
3. Geometry

Opposite = 13cm, hypotenuse = 18.4cm. Find the angle

Answer: 45° (approximately)
4. Ratio

Calculate 10% of 23

Answer: 2.3
5. Statistics

Calculate the mean of: 41, 28, 42, 9, 38, 8

Answer: 27.7

Wednesday 12 January 2022

Keystones #1 · Five questions · Open this day only

1. Number

Calculate: 331 + 352

Answer: 331 + 352 = 683
2. Algebra

Solve: 5x = 75

Answer: x = 15
3. Geometry

Opposite = 20cm, adjacent = 11cm. Calculate the angle

Answer: 61.2°
4. Ratio

Calculate 25% of 164

Answer: 41
5. Statistics

Calculate the mean of: 20, 20, 35, 12, 7, 22, 31

Answer: 21

Thursday 13 January 2022

Keystones #1 · Five questions · Open this day only

1. Number

Calculate: 46 + 97

Answer: 46 + 97 = 143
2. Algebra

Simplify: 8x + 5x

Answer: 13x
3. Geometry

Opposite = 15cm, hypotenuse = 17.3cm. Find the angle

Answer: 60° (approximately)
4. Ratio

Simplify the ratio 12:28

Answer: 3:7
5. Statistics

Find the mean of: 11, 20, 6, 10

Answer: 11.75

Friday 14 January 2022

Keystones #1 · Five questions · Open this day only

1. Number

800000

Answer: 8 × 10⁵
2. Algebra

Factorise: 48x + 30

Answer: 6(8x + 5)
3. Geometry

Opposite = 7cm, hypotenuse = 8.cm. Find the angle

Answer: 60° (approximately)
4. Ratio

Simplify: 6:12:18

Answer: 1:2:3
5. Statistics

Calculate the mean of: 29, 46, 47, 16, 29, 43, 16, 44

Answer: 33.8