Change pack
Capstone
Mar 30 - Apr 5
25 questions
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1.
Number
Simplify: √864
Answer: 12√6
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2.
Algebra
Complete the square: x² + x + 2
Answer: (x + 1⁄2)² + 7⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 25cm, angle = 63°. Give your answer to 2 decimal places
Answer: 133.65cm²
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4.
Ratio
a:b is 6:7 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 18:21:7
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5.
Statistics
Find the mean, median and range of: 10, 91, 55, 18, 71, 71, 35, 42. Give your answer to 2 decimal places
Answer: Mean = 49.13, Median = 48.5, Range = 81
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1.
Number
Simplify: √500
Answer: 10√5
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2.
Algebra
Complete the square: 5x² + 30x - 6
Answer: 5(x + 3)² - 51
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3.
Geometry
Find area of triangle: a = 14cm, b = 26cm, angle = 70°. Give your answer to 2 decimal places
Answer: 171.02cm²
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4.
Ratio
a:b is 3:4 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 21:28:8
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5.
Statistics
Find the mean, median and range of: 43, 88, 55, 55, 83, 14, 78, 44, 18. Give your answer to 2 decimal places
Answer: Mean = 53.11, Median = 55, Range = 74
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1.
Number
Simplify: √486
Answer: 9√6
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2.
Algebra
Complete the square: 3x² - 36x - 3
Answer: 3(x - 6)² - 111
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3.
Geometry
Find area of triangle: a = 19cm, b = 23cm, angle = 57°. Give your answer to 2 decimal places
Answer: 183.25cm²
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4.
Ratio
a:b is 5:7 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 20:28:49
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5.
Statistics
Find the mean, median and range of: 57, 12, 73, 66, 57, 50, 54. Give your answer to 2 decimal places
Answer: Mean = 52.71, Median = 57, Range = 61
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1.
Number
Simplify: 3√99
Answer: 9√11
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2.
Algebra
Complete the square: x² + 7x + 2
Answer: (x + 7⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 29cm, angle = 46°. Give your answer to 2 decimal places
Answer: 219.04cm²
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4.
Ratio
a:b is 1:7 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 4:28:21
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5.
Statistics
Find the mean, median and range of: 76, 21, 10, 71, 68, 13, 47. Give your answer to 2 decimal places
Answer: Mean = 43.71, Median = 47, Range = 66
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: 5x² + 50x - 14
Answer: 5(x + 5)² - 139
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3.
Geometry
Find area of triangle: a = 19cm, b = 15cm, angle = 74°. Give your answer to 2 decimal places
Answer: 136.98cm²
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4.
Ratio
a:b is 7:2 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 35:10:2
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5.
Statistics
Find the mean, median and range of: 51, 50, 26, 95, 96, 29, 56, 28, 21. Give your answer to 2 decimal places
Answer: Mean = 50.22, Median = 50, Range = 75