Change pack
Capstone
Apr 22 - 28
25 questions
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1.
Number
Simplify: √567
Answer: 9√7
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2.
Algebra
Complete the square: 2x² - 24x - 15
Answer: 2(x - 6)² - 87
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3.
Geometry
Find area of triangle: a = 27cm, b = 17cm, angle = 62°. Give your answer to 2 decimal places
Answer: 202.64cm²
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4.
Ratio
a:b is 5:4 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 25:20:36
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5.
Statistics
Find the mean, median and range of: 32, 75, 77, 91, 74, 86, 26. Give your answer to 2 decimal places
Answer: Mean = 65.86, Median = 75, Range = 65
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1.
Number
Simplify: 5√75
Answer: 25√3
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2.
Algebra
Complete the square: x² + 9x + 2
Answer: (x + 9⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 12cm, angle = 69°. Give your answer to 2 decimal places
Answer: 84.02cm²
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4.
Ratio
a:b is 8:5 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 72:45:25
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5.
Statistics
Find the mean, median and range of: 80, 72, 49, 33, 47, 13, 61, 11, 19. Give your answer to 2 decimal places
Answer: Mean = 42.78, Median = 47, Range = 69
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1.
Number
Simplify: √180
Answer: 6√5
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2.
Algebra
Complete the square: 4x² - 24x - 7
Answer: 4(x - 3)² - 43
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3.
Geometry
Find area of triangle: a = 27cm, b = 26cm, angle = 56°. Give your answer to 2 decimal places
Answer: 290.99cm²
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4.
Ratio
a:b is 1:8 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 3:24:40
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5.
Statistics
Find the mean, median and range of: 28, 57, 33, 31, 65, 42, 53. Give your answer to 2 decimal places
Answer: Mean = 44.14, Median = 42, Range = 37
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1.
Number
Simplify: √640
Answer: 8√10
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2.
Algebra
Complete the square: x² + 3x + 6
Answer: (x + 3⁄2)² + 15⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 29cm, angle = 61°. Give your answer to 2 decimal places
Answer: 177.55cm²
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4.
Ratio
a:b is 9:2 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 81:18:8
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5.
Statistics
Find the mean, median and range of: 61, 24, 22, 16, 85, 20, 54, 61. Give your answer to 2 decimal places
Answer: Mean = 42.88, Median = 39, Range = 69
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1.
Number
Simplify: 4√27
Answer: 12√3
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2.
Algebra
Complete the square: x² + 5x + 6
Answer: (x + 5⁄2)² - 1⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 16cm, angle = 44°. Give your answer to 2 decimal places
Answer: 100.03cm²
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4.
Ratio
a:b is 1:4 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 3:12:16
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5.
Statistics
Find the mean, median and range of: 90, 25, 73, 57, 40, 59, 35, 30. Give your answer to 2 decimal places
Answer: Mean = 51.13, Median = 48.5, Range = 65