Change pack
Capstone
Sep 16 - 22
25 questions
-
1.
Number
Simplify: 2√150
Answer: 10√6
-
2.
Algebra
Complete the square: 2x² - 8x - 1
Answer: 2(x - 2)² - 9
-
3.
Geometry
Find area of triangle: a = 27cm, b = 19cm, angle = 67°. Give your answer to 2 decimal places
Answer: 236.11cm²
-
4.
Ratio
a:b is 5:3 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 25:15:9
-
5.
Statistics
Find the mean, median and range of: 59, 25, 60, 29, 41, 39, 65, 72, 68. Give your answer to 2 decimal places
Answer: Mean = 50.89, Median = 59, Range = 47
-
1.
Number
Simplify: √150
Answer: 5√6
-
2.
Algebra
Complete the square: x² - 11x + 4
Answer: (x - 11⁄2)² - 105⁄4
-
3.
Geometry
Find area of triangle: a = 25cm, b = 22cm, angle = 45°. Give your answer to 2 decimal places
Answer: 194.45cm²
-
4.
Ratio
a:b is 3:5 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 6:10:5
-
5.
Statistics
Find the mean, median and range of: 92, 31, 96, 61, 98, 93, 50, 70, 63. Give your answer to 2 decimal places
Answer: Mean = 72.67, Median = 70, Range = 67
-
1.
Number
Simplify: 3√275
Answer: 15√11
-
2.
Algebra
Complete the square: 5x² + 20x - 11
Answer: 5(x + 2)² - 31
-
3.
Geometry
Find area of triangle: a = 14cm, b = 13cm, angle = 76°. Give your answer to 2 decimal places
Answer: 88.3cm²
-
4.
Ratio
a:b is 5:7 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 30:42:7
-
5.
Statistics
Find the mean, median and range of: 69, 24, 17, 97, 44, 14, 75, 41, 20. Give your answer to 2 decimal places
Answer: Mean = 44.56, Median = 41, Range = 83
-
1.
Number
Simplify: √550
Answer: 5√22
-
2.
Algebra
Complete the square: x² + 3x + 9
Answer: (x + 3⁄2)² + 27⁄4
-
3.
Geometry
Find area of triangle: a = 26cm, b = 14cm, angle = 76°. Give your answer to 2 decimal places
Answer: 176.59cm²
-
4.
Ratio
a:b is 2:5 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 8:20:35
-
5.
Statistics
Find the mean, median and range of: 95, 95, 94, 66, 30, 36, 60, 38
Answer: Mean = 64.25, Median = 63, Range = 65
-
1.
Number
Simplify: 3√90
Answer: 9√10
-
2.
Algebra
Complete the square: 5x² + 50x + 12
Answer: 5(x + 5)² - 113
-
3.
Geometry
Find area of triangle: a = 14cm, b = 21cm, angle = 75°. Give your answer to 2 decimal places
Answer: 141.99cm²
-
4.
Ratio
a:b is 1:8 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 3:24:4
-
5.
Statistics
Find the mean, median and range of: 76, 88, 35, 39, 65, 12, 80. Give your answer to 2 decimal places
Answer: Mean = 56.43, Median = 65, Range = 76