Change pack
Capstone
Nov 26 - Dec 2
25 questions
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1.
Number
Simplify: 3√160
Answer: 12√10
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2.
Algebra
Complete the square: 4x² - 40x + 13
Answer: 4(x - 5)² - 87
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3.
Geometry
Find area of triangle: a = 21cm, b = 27cm, angle = 60°. Give your answer to 2 decimal places
Answer: 245.52cm²
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4.
Ratio
a:b is 1:5 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 4:20:35
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5.
Statistics
Find the mean, median and range of: 44, 74, 73, 65, 69, 30, 10, 74. Give your answer to 2 decimal places
Answer: Mean = 54.88, Median = 67, Range = 64
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1.
Number
Simplify: √250
Answer: 5√10
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2.
Algebra
Complete the square: 5x² - 20x + 14
Answer: 5(x - 2)² - 6
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3.
Geometry
Find area of triangle: a = 14cm, b = 25cm, angle = 74°. Give your answer to 2 decimal places
Answer: 168.22cm²
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4.
Ratio
a:b is 6:5 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 24:20:15
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5.
Statistics
Find the mean, median and range of: 68, 52, 71, 69, 86, 50, 60, 38, 58. Give your answer to 2 decimal places
Answer: Mean = 61.33, Median = 60, Range = 48
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1.
Number
Simplify: √896
Answer: 8√14
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2.
Algebra
Complete the square: 3x² + 12x - 3
Answer: 3(x + 2)² - 15
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3.
Geometry
Find area of triangle: a = 28cm, b = 30cm, angle = 63°. Give your answer to 2 decimal places
Answer: 374.22cm²
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4.
Ratio
a:b is 1:7 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 3:21:35
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5.
Statistics
Find the mean, median and range of: 23, 39, 20, 70, 43, 62, 37
Answer: Mean = 42, Median = 39, Range = 50
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1.
Number
Simplify: 5√24
Answer: 10√6
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2.
Algebra
Complete the square: x² - 7x + 11
Answer: (x - 7⁄2)² - 5⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 22cm, angle = 63°. Give your answer to 2 decimal places
Answer: 176.42cm²
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4.
Ratio
a:b is 9:4 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 81:36:32
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5.
Statistics
Find the mean, median and range of: 84, 42, 68, 16, 83, 59, 32, 37. Give your answer to 2 decimal places
Answer: Mean = 52.63, Median = 50.5, Range = 68
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1.
Number
Simplify: √432
Answer: 12√3
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2.
Algebra
Complete the square: x² + x + 9
Answer: (x + 1⁄2)² + 35⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 12cm, angle = 48°. Give your answer to 2 decimal places
Answer: 115.93cm²
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4.
Ratio
a:b is 1:6 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 4:24:3
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5.
Statistics
Find the mean, median and range of: 92, 90, 76, 74, 17, 40, 32. Give your answer to 2 decimal places
Answer: Mean = 60.14, Median = 74, Range = 75