Change pack
Capstone
Dec 16 - 22
25 questions
-
1.
Number
Simplify: √108
Answer: 6√3
-
2.
Algebra
Complete the square: 5x² + 40x + 15
Answer: 5(x + 4)² - 65
-
3.
Geometry
Find area of triangle: a = 15cm, b = 25cm, angle = 42°. Give your answer to 2 decimal places
Answer: 125.46cm²
-
4.
Ratio
a:b is 2:9 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 4:18:63
-
5.
Statistics
Find the mean, median and range of: 20, 22, 59, 36, 54, 94, 17. Give your answer to 2 decimal places
Answer: Mean = 43.14, Median = 36, Range = 77
-
1.
Number
Simplify: 2√160
Answer: 8√10
-
2.
Algebra
Complete the square: 3x² - 36x - 6
Answer: 3(x - 6)² - 114
-
3.
Geometry
Find area of triangle: a = 27cm, b = 16cm, angle = 66°. Give your answer to 2 decimal places
Answer: 197.33cm²
-
4.
Ratio
a:b is 5:8 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 45:72:40
-
5.
Statistics
Find the mean, median and range of: 65, 79, 31, 83, 92, 53, 14. Give your answer to 2 decimal places
Answer: Mean = 59.57, Median = 65, Range = 78
-
1.
Number
Simplify: √448
Answer: 8√7
-
2.
Algebra
Complete the square: x² - 5x - 11
Answer: (x - 5⁄2)² - 69⁄4
-
3.
Geometry
Find area of triangle: a = 26cm, b = 26cm, angle = 66°. Give your answer to 2 decimal places
Answer: 308.78cm²
-
4.
Ratio
a:b is 3:5 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 27:45:5
-
5.
Statistics
Find the mean, median and range of: 73, 95, 41, 59, 26, 23, 35, 43, 88. Give your answer to 2 decimal places
Answer: Mean = 53.67, Median = 43, Range = 72
-
1.
Number
Simplify: √864
Answer: 12√6
-
2.
Algebra
Complete the square: x² - 11x + 1
Answer: (x - 11⁄2)² - 117⁄4
-
3.
Geometry
Find area of triangle: a = 20cm, b = 18cm, angle = 64°. Give your answer to 2 decimal places
Answer: 161.78cm²
-
4.
Ratio
a:b is 3:7 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 24:56:49
-
5.
Statistics
Find the mean, median and range of: 61, 50, 86, 64, 60, 58, 58. Give your answer to 2 decimal places
Answer: Mean = 62.43, Median = 60, Range = 36
-
1.
Number
Simplify: √363
Answer: 11√3
-
2.
Algebra
Complete the square: 4x² - 16x + 11
Answer: 4(x - 2)² - 5
-
3.
Geometry
Find area of triangle: a = 13cm, b = 14cm, angle = 58°. Give your answer to 2 decimal places
Answer: 77.17cm²
-
4.
Ratio
a:b is 5:7 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 45:63:14
-
5.
Statistics
Find the mean, median and range of: 14, 93, 24, 44, 96, 29, 56. Give your answer to 2 decimal places
Answer: Mean = 50.86, Median = 44, Range = 82