Change pack
Capstone
Jun 13 - 19
25 questions
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1.
Number
Simplify: 3√175
Answer: 15√7
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2.
Algebra
Complete the square: x² + 11x + 5
Answer: (x + 11⁄2)² - 101⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 17cm, angle = 63°. Give your answer to 2 decimal places
Answer: 227.21cm²
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4.
Ratio
a:b is 1:7 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 2:14:35
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5.
Statistics
Find the mean, median and range of: 44, 40, 81, 86, 81, 42, 22, 94, 88. Give your answer to 2 decimal places
Answer: Mean = 64.22, Median = 81, Range = 72
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1.
Number
Simplify: 4√125
Answer: 20√5
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2.
Algebra
Complete the square: 4x² + 32x + 13
Answer: 4(x + 4)² - 51
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3.
Geometry
Find area of triangle: a = 29cm, b = 30cm, angle = 60°. Give your answer to 2 decimal places
Answer: 376.72cm²
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4.
Ratio
a:b is 5:6 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 25:30:6
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5.
Statistics
Find the mean, median and range of: 99, 38, 86, 61, 69, 23, 92, 73. Give your answer to 2 decimal places
Answer: Mean = 67.63, Median = 71, Range = 76
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1.
Number
Simplify: √637
Answer: 7√13
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2.
Algebra
Complete the square: 5x² - 50x + 5
Answer: 5(x - 5)² - 120
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3.
Geometry
Find area of triangle: a = 14cm, b = 12cm, angle = 44°. Give your answer to 2 decimal places
Answer: 58.35cm²
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4.
Ratio
a:b is 2:7 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 16:56:63
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5.
Statistics
Find the mean, median and range of: 14, 78, 25, 100, 87, 90, 79, 25
Answer: Mean = 62.25, Median = 78.5, Range = 86
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1.
Number
Simplify: √891
Answer: 9√11
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2.
Algebra
Complete the square: x² - 7x - 10
Answer: (x - 7⁄2)² - 89⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 22cm, angle = 41°. Give your answer to 2 decimal places
Answer: 93.82cm²
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4.
Ratio
a:b is 5:8 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 45:72:64
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5.
Statistics
Find the mean, median and range of: 22, 39, 92, 82, 54, 48, 85, 90
Answer: Mean = 64, Median = 68, Range = 70
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1.
Number
Simplify: 5√90
Answer: 15√10
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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 = 21cm, b = 14cm, angle = 63°. Give your answer to 2 decimal places
Answer: 130.98cm²
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4.
Ratio
a:b is 8:7 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 72:63:35
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5.
Statistics
Find the mean, median and range of: 58, 43, 29, 79, 88, 37, 40, 72, 89. Give your answer to 2 decimal places
Answer: Mean = 59.44, Median = 58, Range = 60