Change pack
Capstone
May 27 - Jun 2
25 questions
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1.
Number
Simplify: 5√112
Answer: 20√7
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2.
Algebra
Complete the square: 2x² - 24x + 12
Answer: 2(x - 6)² - 60
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3.
Geometry
Find area of triangle: a = 25cm, b = 28cm, angle = 59°. Give your answer to 2 decimal places
Answer: 300.01cm²
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4.
Ratio
a:b is 6:5 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 12:10:45
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5.
Statistics
Find the mean, median and range of: 63, 45, 57, 29, 65, 19, 60, 72
Answer: Mean = 51.25, Median = 58.5, Range = 53
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1.
Number
Simplify: √208
Answer: 4√13
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2.
Algebra
Complete the square: x² + 5x - 3
Answer: (x + 5⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 27cm, angle = 42°. Give your answer to 2 decimal places
Answer: 144.53cm²
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4.
Ratio
a:b is 9:5 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 18:10:5
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5.
Statistics
Find the mean, median and range of: 46, 83, 68, 95, 23, 19, 72, 54
Answer: Mean = 57.5, Median = 61, Range = 76
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1.
Number
Simplify: √363
Answer: 11√3
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2.
Algebra
Complete the square: x² - 3x + 2
Answer: (x - 3⁄2)² - 1⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 22cm, angle = 76°. Give your answer to 2 decimal places
Answer: 288.18cm²
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4.
Ratio
a:b is 7:6 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 35:30:48
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5.
Statistics
Find the mean, median and range of: 15, 98, 87, 23, 27, 59, 60, 51, 53. Give your answer to 2 decimal places
Answer: Mean = 52.56, Median = 53, Range = 83
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1.
Number
Simplify: √160
Answer: 4√10
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2.
Algebra
Complete the square: x² - 11x - 6
Answer: (x - 11⁄2)² - 145⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 18cm, angle = 43°. Give your answer to 2 decimal places
Answer: 98.21cm²
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4.
Ratio
a:b is 5:6 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 20:24:3
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5.
Statistics
Find the mean, median and range of: 50, 99, 19, 26, 11, 75, 96. Give your answer to 2 decimal places
Answer: Mean = 53.71, Median = 50, Range = 88
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1.
Number
Simplify: √486
Answer: 9√6
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2.
Algebra
Complete the square: x² + x - 3
Answer: (x + 1⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 28cm, angle = 57°. Give your answer to 2 decimal places
Answer: 317.02cm²
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4.
Ratio
a:b is 1:9 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 8:72:81
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5.
Statistics
Find the mean, median and range of: 62, 77, 74, 90, 18, 73, 96, 66
Answer: Mean = 69.5, Median = 73.5, Range = 78