Change pack
Capstone
Dec 10 - 16
25 questions
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1.
Number
Simplify: 5√125
Answer: 25√5
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2.
Algebra
Complete the square: x² + x - 5
Answer: (x + 1⁄2)² - 21⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 29cm, angle = 63°. Give your answer to 2 decimal places
Answer: 374.67cm²
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4.
Ratio
a:b is 8:9 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 64:72:45
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5.
Statistics
Find the mean, median and range of: 23, 72, 49, 15, 72, 14, 91, 35. Give your answer to 2 decimal places
Answer: Mean = 46.38, Median = 42, Range = 77
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1.
Number
Simplify: √96
Answer: 4√6
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2.
Algebra
Complete the square: 2x² - 8x + 13
Answer: 2(x - 2)² + 5
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3.
Geometry
Find area of triangle: a = 21cm, b = 14cm, angle = 76°. Give your answer to 2 decimal places
Answer: 142.63cm²
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4.
Ratio
a:b is 2:9 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 4:18:3
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5.
Statistics
Find the mean, median and range of: 87, 70, 50, 51, 20, 55, 66, 65
Answer: Mean = 58, Median = 60, Range = 67
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1.
Number
Simplify: √425
Answer: 5√17
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2.
Algebra
Complete the square: 5x² + 40x
Answer: 5(x + 4)² - 80
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3.
Geometry
Find area of triangle: a = 30cm, b = 27cm, angle = 67°. Give your answer to 2 decimal places
Answer: 372.8cm²
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4.
Ratio
a:b is 2:3 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 4:6:21
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5.
Statistics
Find the mean, median and range of: 19, 44, 35, 97, 38, 45, 71, 73
Answer: Mean = 52.75, Median = 44.5, Range = 78
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1.
Number
Simplify: √360
Answer: 6√10
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2.
Algebra
Complete the square: x² - x - 7
Answer: (x - 1⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 21cm, angle = 41°. Give your answer to 2 decimal places
Answer: 103.33cm²
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4.
Ratio
a:b is 4:7 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 20:35:42
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5.
Statistics
Find the mean, median and range of: 33, 49, 33, 79, 83, 100, 73, 55. Give your answer to 2 decimal places
Answer: Mean = 63.13, Median = 64, Range = 67
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1.
Number
Simplify: √960
Answer: 8√15
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2.
Algebra
Complete the square: x² - 7x + 7
Answer: (x - 7⁄2)² - 21⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 17cm, angle = 73°. Give your answer to 2 decimal places
Answer: 105.67cm²
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4.
Ratio
a:b is 9:4 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 81:36:8
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5.
Statistics
Find the mean, median and range of: 21, 91, 47, 50, 99, 20, 15
Answer: Mean = 49, Median = 47, Range = 84