Change pack
Capstone
Nov 18 - 24
25 questions
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1.
Number
Simplify: 2√90
Answer: 6√10
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2.
Algebra
Complete the square: 2x² - 16x + 8
Answer: 2(x - 4)² - 24
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3.
Geometry
Find area of triangle: a = 17cm, b = 30cm, angle = 49°. Give your answer to 2 decimal places
Answer: 192.45cm²
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4.
Ratio
a:b is 7:8 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 63:72:40
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5.
Statistics
Find the mean, median and range of: 52, 50, 36, 73, 17, 46, 15. Give your answer to 2 decimal places
Answer: Mean = 41.29, Median = 46, Range = 58
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1.
Number
Simplify: 4√90
Answer: 12√10
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2.
Algebra
Complete the square: x² - x + 12
Answer: (x - 1⁄2)² + 47⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 13cm, angle = 55°. Give your answer to 2 decimal places
Answer: 143.76cm²
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4.
Ratio
a:b is 5:3 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 25:15:18
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5.
Statistics
Find the mean, median and range of: 11, 95, 90, 92, 22, 38, 46. Give your answer to 2 decimal places
Answer: Mean = 56.29, Median = 46, Range = 84
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1.
Number
Simplify: √475
Answer: 5√19
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2.
Algebra
Complete the square: 4x² + 16x + 9
Answer: 4(x + 2)² - 7
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3.
Geometry
Find area of triangle: a = 22cm, b = 20cm, angle = 61°. Give your answer to 2 decimal places
Answer: 192.42cm²
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4.
Ratio
a:b is 9:7 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 81:63:35
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5.
Statistics
Find the mean, median and range of: 86, 14, 59, 51, 80, 90, 41, 89
Answer: Mean = 63.75, Median = 69.5, Range = 76
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1.
Number
Simplify: 5√63
Answer: 15√7
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2.
Algebra
Complete the square: 3x² + 12x + 11
Answer: 3(x + 2)² - 1
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3.
Geometry
Find area of triangle: a = 23cm, b = 20cm, angle = 53°. Give your answer to 2 decimal places
Answer: 183.69cm²
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4.
Ratio
a:b is 7:9 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 35:45:18
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5.
Statistics
Find the mean, median and range of: 41, 64, 68, 28, 26, 70, 89, 50, 55. Give your answer to 2 decimal places
Answer: Mean = 54.56, Median = 55, Range = 63
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1.
Number
Simplify: 2√44
Answer: 4√11
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2.
Algebra
Complete the square: x² - 9x - 1
Answer: (x - 9⁄2)² - 85⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 16cm, angle = 40°. Give your answer to 2 decimal places
Answer: 61.71cm²
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4.
Ratio
a:b is 9:4 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 45:20:4
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5.
Statistics
Find the mean, median and range of: 15, 61, 19, 48, 96, 41, 80. Give your answer to 2 decimal places
Answer: Mean = 51.43, Median = 48, Range = 81