Change pack
Capstone
Sep 19 - 25
25 questions
-
1.
Number
Simplify: √243
Answer: 9√3
-
2.
Algebra
Complete the square: x² - 7x + 6
Answer: (x - 7⁄2)² - 25⁄4
-
3.
Geometry
Find area of triangle: a = 30cm, b = 24cm, angle = 72°. Give your answer to 2 decimal places
Answer: 342.38cm²
-
4.
Ratio
a:b is 7:3 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 35:15:12
-
5.
Statistics
Find the mean, median and range of: 21, 80, 38, 89, 99, 18, 30, 65, 27. Give your answer to 2 decimal places
Answer: Mean = 51.89, Median = 38, Range = 81
-
1.
Number
Simplify: √250
Answer: 5√10
-
2.
Algebra
Complete the square: x² - x + 1
Answer: (x - 1⁄2)² + 3⁄4
-
3.
Geometry
Find area of triangle: a = 17cm, b = 28cm, angle = 53°. Give your answer to 2 decimal places
Answer: 190.08cm²
-
4.
Ratio
a:b is 6:5 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 48:40:45
-
5.
Statistics
Find the mean, median and range of: 93, 98, 63, 24, 75, 30, 56, 36. Give your answer to 2 decimal places
Answer: Mean = 59.38, Median = 59.5, Range = 74
-
1.
Number
Simplify: 2√27
Answer: 6√3
-
2.
Algebra
Complete the square: x² + 5x - 3
Answer: (x + 5⁄2)² - 37⁄4
-
3.
Geometry
Find area of triangle: a = 29cm, b = 17cm, angle = 69°. Give your answer to 2 decimal places
Answer: 230.13cm²
-
4.
Ratio
a:b is 5:2 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 35:14:2
-
5.
Statistics
Find the mean, median and range of: 98, 24, 57, 42, 47, 40, 18. Give your answer to 2 decimal places
Answer: Mean = 46.57, Median = 42, Range = 80
-
1.
Number
Simplify: √810
Answer: 9√10
-
2.
Algebra
Complete the square: 4x² + 24x + 6
Answer: 4(x + 3)² - 30
-
3.
Geometry
Find area of triangle: a = 19cm, b = 22cm, angle = 70°. Give your answer to 2 decimal places
Answer: 196.4cm²
-
4.
Ratio
a:b is 9:8 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 45:40:8
-
5.
Statistics
Find the mean, median and range of: 89, 58, 18, 13, 90, 74, 37, 58, 68. Give your answer to 2 decimal places
Answer: Mean = 56.11, Median = 58, Range = 77
-
1.
Number
Simplify: 2√24
Answer: 4√6
-
2.
Algebra
Complete the square: 5x² - 30x - 15
Answer: 5(x - 3)² - 60
-
3.
Geometry
Find area of triangle: a = 22cm, b = 29cm, angle = 44°. Give your answer to 2 decimal places
Answer: 221.6cm²
-
4.
Ratio
a:b is 3:7 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 12:28:63
-
5.
Statistics
Find the mean, median and range of: 57, 59, 79, 31, 75, 83, 95, 35
Answer: Mean = 64.25, Median = 67, Range = 64