Keystones Cornerstone — Jan 1 - 7 | Maths Vault

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Cornerstone Jan 1 - 7 25 questions

Monday 18 October 2021

Keystones #1 · Five questions · Open this day only

1. Number

Simplify: x⁴ × x⁴

Answer: x⁸
2. Algebra

Solve: 7x = 91

Answer: x = 13
3. Geometry

Opposite = 12cm, adjacent = 20cm. Calculate the angle

Answer: 31°
4. Ratio

Simplify: 20:24:24

Answer: 5:6:6
5. Statistics

Find the mean of: 15, 19, 6, 6

Answer: 11.5

Tuesday 19 October 2021

Keystones #1 · Five questions · Open this day only

1. Number

Calculate: 85 + 91

Answer: 85 + 91 = 176
2. Algebra

Simplify: 7x + 7x

Answer: 14x
3. Geometry

Find the area of a circle with radius 7cm

Answer: 153.94cm²
4. Ratio

Simplify: 12:4:10

Answer: 6:2:5
5. Statistics

A bag has 5 red and 3 blue balls. What is the probability of picking a red ball?

Answer: ⁵⁄₈

Wednesday 20 October 2021

Keystones #1 · Five questions · Open this day only

1. Number

Calculate: 893 + 215

Answer: 893 + 215 = 1108
2. Algebra

Simplify: 2x + 9x

Answer: 11x
3. Geometry

Calculate the hypotenuse when a = 11cm and b = 9cm

Answer: 14.21cm
4. Ratio

Find 75% of 235

Answer: 176.25
5. Statistics

Find the mean of: 8, 11, 15, 7, 9

Answer: 10

Thursday 21 October 2021

Keystones #1 · Five questions · Open this day only

1. Number

Calculate: 51 + 49

Answer: 51 + 49 = 100
2. Algebra

Expand: 5(2x + 4)

Answer: 10x + 20
3. Geometry

Find the perimeter of a right triangle with sides 6cm and 8cm

Answer: 24cm
4. Ratio

Simplify: 6:6:9

Answer: 2:2:3
5. Statistics

Calculate the mean of: 11, 27, 35, 5, 42, 32, 42

Answer: 27.7

Friday 22 October 2021

Keystones #1 · Five questions · Open this day only

1. Number

Calculate: 692 + 268

Answer: 692 + 268 = 960
2. Algebra

Expand: 5(5x + 3)

Answer: 25x + 15
3. Geometry

Opposite = 11cm, adjacent = 10cm. Calculate the angle

Answer: 47.7°
4. Ratio

Simplify: 9:18:15

Answer: 3:6:5
5. Statistics

Calculate the mean of: 15, 41, 32, 48, 46, 16, 41

Answer: 34.1