Change pack
Capstone
Jan 28 - Feb 3
25 questions
-
1.
Number
Simplify: 2√63
Answer: 6√7
-
2.
Algebra
Complete the square: x² - 7x - 4
Answer: (x - 7⁄2)² - 65⁄4
-
3.
Geometry
Find area of triangle: a = 18cm, b = 30cm, angle = 47°. Give your answer to 2 decimal places
Answer: 197.47cm²
-
4.
Ratio
a:b is 5:9 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 25:45:9
-
5.
Statistics
Find the mean, median and range of: 67, 28, 76, 48, 94, 82, 16, 52, 63. Give your answer to 2 decimal places
Answer: Mean = 58.44, Median = 63, Range = 78
-
1.
Number
Simplify: √931
Answer: 7√19
-
2.
Algebra
Complete the square: 3x² + 30x + 1
Answer: 3(x + 5)² - 74
-
3.
Geometry
Find area of triangle: a = 25cm, b = 26cm, angle = 70°. Give your answer to 2 decimal places
Answer: 305.4cm²
-
4.
Ratio
a:b is 3:8 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 9:24:64
-
5.
Statistics
Find the mean, median and range of: 23, 70, 73, 56, 61, 51, 97, 26. Give your answer to 2 decimal places
Answer: Mean = 57.13, Median = 58.5, Range = 74
-
1.
Number
Simplify: √240
Answer: 4√15
-
2.
Algebra
Complete the square: x² + 7x - 3
Answer: (x + 7⁄2)² - 61⁄4
-
3.
Geometry
Find area of triangle: a = 23cm, b = 20cm, angle = 53°. Give your answer to 2 decimal places
Answer: 183.69cm²
-
4.
Ratio
a:b is 2:3 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 10:15:21
-
5.
Statistics
Find the mean, median and range of: 16, 66, 38, 77, 26, 95, 54, 76, 66. Give your answer to 2 decimal places
Answer: Mean = 57.11, Median = 66, Range = 79
-
1.
Number
Simplify: 3√18
Answer: 9√2
-
2.
Algebra
Complete the square: 4x² - 24x + 4
Answer: 4(x - 3)² - 32
-
3.
Geometry
Find area of triangle: a = 18cm, b = 12cm, angle = 80°. Give your answer to 2 decimal places
Answer: 106.36cm²
-
4.
Ratio
a:b is 6:5 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 42:35:20
-
5.
Statistics
Find the mean, median and range of: 55, 66, 32, 32, 85, 85, 55, 52
Answer: Mean = 57.75, Median = 55, Range = 53
-
1.
Number
Simplify: 5√125
Answer: 25√5
-
2.
Algebra
Complete the square: x² + 3x - 10
Answer: (x + 3⁄2)² - 49⁄4
-
3.
Geometry
Find area of triangle: a = 18cm, b = 16cm, angle = 53°. Give your answer to 2 decimal places
Answer: 115cm²
-
4.
Ratio
a:b is 8:7 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 40:35:28
-
5.
Statistics
Find the mean, median and range of: 77, 48, 73, 70, 38, 91, 86, 23, 19. Give your answer to 2 decimal places
Answer: Mean = 58.33, Median = 70, Range = 72