Change pack
Capstone
Oct 29 - Nov 4
25 questions
-
1.
Number
Simplify: 3√80
Answer: 12√5
-
2.
Algebra
Complete the square: 4x² - 16x - 8
Answer: 4(x - 2)² - 24
-
3.
Geometry
Find area of triangle: a = 21cm, b = 15cm, angle = 51°. Give your answer to 2 decimal places
Answer: 122.4cm²
-
4.
Ratio
a:b is 5:4 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 35:28:8
-
5.
Statistics
Find the mean, median and range of: 13, 74, 39, 33, 88, 45, 97, 73, 43. Give your answer to 2 decimal places
Answer: Mean = 56.11, Median = 45, Range = 84
-
1.
Number
Simplify: √224
Answer: 4√14
-
2.
Algebra
Complete the square: 5x² + 10x - 8
Answer: 5(x + 1)² - 13
-
3.
Geometry
Find area of triangle: a = 15cm, b = 23cm, angle = 51°. Give your answer to 2 decimal places
Answer: 134.06cm²
-
4.
Ratio
a:b is 9:4 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 27:12:10
-
5.
Statistics
Find the mean, median and range of: 36, 56, 79, 68, 45, 19, 50, 35, 88. Give your answer to 2 decimal places
Answer: Mean = 52.89, Median = 50, Range = 69
-
1.
Number
Simplify: 2√80
Answer: 8√5
-
2.
Algebra
Complete the square: 2x² - 20x + 13
Answer: 2(x - 5)² - 37
-
3.
Geometry
Find area of triangle: a = 18cm, b = 14cm, angle = 43°. Give your answer to 2 decimal places
Answer: 85.93cm²
-
4.
Ratio
a:b is 4:7 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 12:21:7
-
5.
Statistics
Find the mean, median and range of: 35, 54, 14, 53, 64, 37, 39. Give your answer to 2 decimal places
Answer: Mean = 42.29, Median = 39, Range = 50
-
1.
Number
Simplify: √352
Answer: 4√22
-
2.
Algebra
Complete the square: 3x² + 12x + 2
Answer: 3(x + 2)² - 10
-
3.
Geometry
Find area of triangle: a = 24cm, b = 22cm, angle = 40°. Give your answer to 2 decimal places
Answer: 169.7cm²
-
4.
Ratio
a:b is 2:3 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 8:12:15
-
5.
Statistics
Find the mean, median and range of: 100, 35, 44, 44, 76, 50, 14, 36. Give your answer to 2 decimal places
Answer: Mean = 49.88, Median = 44, Range = 86
-
1.
Number
Simplify: 4√160
Answer: 16√10
-
2.
Algebra
Complete the square: 3x² - 36x + 3
Answer: 3(x - 6)² - 105
-
3.
Geometry
Find area of triangle: a = 26cm, b = 28cm, angle = 61°. Give your answer to 2 decimal places
Answer: 318.36cm²
-
4.
Ratio
a:b is 2:7 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 4:14:49
-
5.
Statistics
Find the mean, median and range of: 76, 98, 97, 35, 86, 16, 92. Give your answer to 2 decimal places
Answer: Mean = 71.43, Median = 86, Range = 82