Change pack
Capstone
Nov 9 - 15
25 questions
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1.
Number
Simplify: 2√80
Answer: 8√5
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2.
Algebra
Complete the square: 3x² + 6x + 5
Answer: 3(x + 1)² + 2
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3.
Geometry
Find area of triangle: a = 13cm, b = 25cm, angle = 53°. Give your answer to 2 decimal places
Answer: 129.78cm²
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4.
Ratio
a:b is 6:7 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 36:42:7
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5.
Statistics
Find the mean, median and range of: 97, 92, 30, 52, 93, 57, 28. Give your answer to 2 decimal places
Answer: Mean = 64.14, Median = 57, Range = 69
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1.
Number
Simplify: 5√28
Answer: 10√7
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2.
Algebra
Complete the square: x² + 9x + 5
Answer: (x + 9⁄2)² - 61⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 21cm, angle = 72°. Give your answer to 2 decimal places
Answer: 149.79cm²
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4.
Ratio
a:b is 3:4 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 21:28:24
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5.
Statistics
Find the mean, median and range of: 16, 68, 37, 49, 67, 64, 86, 52. Give your answer to 2 decimal places
Answer: Mean = 54.88, Median = 58, Range = 70
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1.
Number
Simplify: 2√75
Answer: 10√3
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2.
Algebra
Complete the square: x² + 9x + 6
Answer: (x + 9⁄2)² - 57⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 28cm, angle = 62°. Give your answer to 2 decimal places
Answer: 358.48cm²
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4.
Ratio
a:b is 5:4 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 35:28:36
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5.
Statistics
Find the mean, median and range of: 29, 62, 54, 37, 30, 86, 18, 25. Give your answer to 2 decimal places
Answer: Mean = 42.63, Median = 33.5, Range = 68
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1.
Number
Simplify: √612
Answer: 6√17
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2.
Algebra
Complete the square: 5x² - 30x + 12
Answer: 5(x - 3)² - 33
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3.
Geometry
Find area of triangle: a = 22cm, b = 13cm, angle = 54°. Give your answer to 2 decimal places
Answer: 115.69cm²
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4.
Ratio
a:b is 7:4 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 21:12:4
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5.
Statistics
Find the mean, median and range of: 20, 61, 35, 20, 49, 94, 74, 32. Give your answer to 2 decimal places
Answer: Mean = 48.13, Median = 42, Range = 74
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1.
Number
Simplify: √208
Answer: 4√13
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2.
Algebra
Complete the square: x² - 11x - 2
Answer: (x - 11⁄2)² - 129⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 16cm, angle = 71°. Give your answer to 2 decimal places
Answer: 143.72cm²
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4.
Ratio
a:b is 1:9 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 7:63:9
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5.
Statistics
Find the mean, median and range of: 79, 20, 12, 98, 91, 63, 18. Give your answer to 2 decimal places
Answer: Mean = 54.43, Median = 63, Range = 86