Change pack
Capstone
Nov 27 - Dec 3
25 questions
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1.
Number
Simplify: 5√99
Answer: 15√11
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2.
Algebra
Complete the square: x² + 9x + 3
Answer: (x + 9⁄2)² - 69⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 19cm, angle = 66°. Give your answer to 2 decimal places
Answer: 147.54cm²
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4.
Ratio
a:b is 6:7 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 48:56:49
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5.
Statistics
Find the mean, median and range of: 91, 51, 84, 72, 85, 30, 38, 34, 46
Answer: Mean = 59, Median = 51, Range = 61
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1.
Number
Simplify: √600
Answer: 10√6
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2.
Algebra
Complete the square: x² + 7x + 3
Answer: (x + 7⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 29cm, angle = 51°. Give your answer to 2 decimal places
Answer: 292.98cm²
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4.
Ratio
a:b is 1:4 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 7:28:32
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5.
Statistics
Find the mean, median and range of: 44, 73, 21, 32, 63, 83, 18, 17, 29. Give your answer to 2 decimal places
Answer: Mean = 42.22, Median = 32, Range = 66
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1.
Number
Simplify: √448
Answer: 8√7
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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 = 15cm, b = 13cm, angle = 64°. Give your answer to 2 decimal places
Answer: 87.63cm²
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4.
Ratio
a:b is 4:7 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 36:63:7
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5.
Statistics
Find the mean, median and range of: 30, 58, 81, 39, 32, 91, 18, 60. Give your answer to 2 decimal places
Answer: Mean = 51.13, Median = 48.5, Range = 73
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1.
Number
Simplify: √300
Answer: 10√3
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2.
Algebra
Complete the square: x² - 11x - 4
Answer: (x - 11⁄2)² - 137⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 18cm, angle = 51°. Give your answer to 2 decimal places
Answer: 97.92cm²
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4.
Ratio
a:b is 7:2 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 21:6:4
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5.
Statistics
Find the mean, median and range of: 90, 59, 40, 69, 22, 38, 27, 98. Give your answer to 2 decimal places
Answer: Mean = 55.38, Median = 49.5, Range = 76
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1.
Number
Simplify: √96
Answer: 4√6
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2.
Algebra
Complete the square: 5x² + 30x + 11
Answer: 5(x + 3)² - 34
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3.
Geometry
Find area of triangle: a = 27cm, b = 28cm, angle = 65°. Give your answer to 2 decimal places
Answer: 342.58cm²
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4.
Ratio
a:b is 1:8 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 5:40:64
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5.
Statistics
Find the mean, median and range of: 97, 80, 19, 91, 81, 62, 96. Give your answer to 2 decimal places
Answer: Mean = 75.14, Median = 81, Range = 78