Change pack
Capstone
Mar 18 - 24
25 questions
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1.
Number
Simplify: √175
Answer: 5√7
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2.
Algebra
Complete the square: 5x² - 10x - 2
Answer: 5(x - 1)² - 7
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3.
Geometry
Find area of triangle: a = 25cm, b = 24cm, angle = 80°. Give your answer to 2 decimal places
Answer: 295.44cm²
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4.
Ratio
a:b is 9:7 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 72:56:35
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5.
Statistics
Find the mean, median and range of: 49, 67, 74, 51, 93, 20, 77. Give your answer to 2 decimal places
Answer: Mean = 61.57, Median = 67, Range = 73
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1.
Number
Simplify: √600
Answer: 10√6
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2.
Algebra
Complete the square: x² - 3x - 6
Answer: (x - 3⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 14cm, angle = 62°. Give your answer to 2 decimal places
Answer: 160.7cm²
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4.
Ratio
a:b is 1:6 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 2:12:27
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5.
Statistics
Find the mean, median and range of: 25, 18, 92, 82, 29, 35, 89. Give your answer to 2 decimal places
Answer: Mean = 52.86, Median = 35, Range = 74
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1.
Number
Simplify: √180
Answer: 6√5
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2.
Algebra
Complete the square: x² - 11x + 11
Answer: (x - 11⁄2)² - 77⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 29cm, angle = 48°. Give your answer to 2 decimal places
Answer: 150.86cm²
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4.
Ratio
a:b is 1:8 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 3:24:64
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5.
Statistics
Find the mean, median and range of: 95, 65, 85, 70, 77, 72, 95, 34, 48. Give your answer to 2 decimal places
Answer: Mean = 71.22, Median = 72, Range = 61
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1.
Number
Simplify: √343
Answer: 7√7
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2.
Algebra
Complete the square: 3x² + 18x - 6
Answer: 3(x + 3)² - 33
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3.
Geometry
Find area of triangle: a = 18cm, b = 16cm, angle = 62°. Give your answer to 2 decimal places
Answer: 127.14cm²
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4.
Ratio
a:b is 9:5 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 81:45:25
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5.
Statistics
Find the mean, median and range of: 75, 15, 81, 79, 78, 48, 68, 98, 10. Give your answer to 2 decimal places
Answer: Mean = 61.33, Median = 75, Range = 88
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1.
Number
Simplify: 4√27
Answer: 12√3
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2.
Algebra
Complete the square: x² - 5x + 1
Answer: (x - 5⁄2)² - 21⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 29cm, angle = 64°. Give your answer to 2 decimal places
Answer: 195.49cm²
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4.
Ratio
a:b is 7:5 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 63:45:5
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5.
Statistics
Find the mean, median and range of: 89, 89, 95, 50, 98, 28, 85. Give your answer to 2 decimal places
Answer: Mean = 76.29, Median = 89, Range = 70