Change pack
Capstone
Aug 14 - 20
25 questions
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1.
Number
Simplify: 5√18
Answer: 15√2
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2.
Algebra
Complete the square: 4x² - 8x + 11
Answer: 4(x - 1)² + 7
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3.
Geometry
Find area of triangle: a = 13cm, b = 14cm, angle = 47°. Give your answer to 2 decimal places
Answer: 66.55cm²
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4.
Ratio
a:b is 9:5 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 63:35:40
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5.
Statistics
Find the mean, median and range of: 24, 100, 41, 33, 59, 93, 48, 31. Give your answer to 2 decimal places
Answer: Mean = 53.63, Median = 44.5, Range = 76
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1.
Number
Simplify: 4√27
Answer: 12√3
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2.
Algebra
Complete the square: 4x² + 16x - 1
Answer: 4(x + 2)² - 17
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3.
Geometry
Find area of triangle: a = 15cm, b = 29cm, angle = 64°. Give your answer to 2 decimal places
Answer: 195.49cm²
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4.
Ratio
a:b is 2:5 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 14:35:30
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5.
Statistics
Find the mean, median and range of: 89, 14, 31, 95, 95, 25, 88, 40, 99
Answer: Mean = 64, Median = 88, Range = 85
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: 2x² + 16x - 9
Answer: 2(x + 4)² - 41
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3.
Geometry
Find area of triangle: a = 19cm, b = 25cm, angle = 41°. Give your answer to 2 decimal places
Answer: 155.81cm²
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4.
Ratio
a:b is 6:5 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 42:35:40
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5.
Statistics
Find the mean, median and range of: 62, 15, 29, 20, 32, 21, 61, 83. Give your answer to 2 decimal places
Answer: Mean = 40.38, Median = 30.5, Range = 68
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1.
Number
Simplify: 3√112
Answer: 12√7
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2.
Algebra
Complete the square: 2x² - 24x + 1
Answer: 2(x - 6)² - 71
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3.
Geometry
Find area of triangle: a = 19cm, b = 30cm, angle = 43°. Give your answer to 2 decimal places
Answer: 194.37cm²
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4.
Ratio
a:b is 9:2 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 27:6:14
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5.
Statistics
Find the mean, median and range of: 23, 29, 66, 90, 19, 67, 10, 56, 28. Give your answer to 2 decimal places
Answer: Mean = 43.11, Median = 29, Range = 80
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1.
Number
Simplify: √32
Answer: 4√2
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2.
Algebra
Complete the square: x² + 5x + 2
Answer: (x + 5⁄2)² - 17⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 14cm, angle = 68°. Give your answer to 2 decimal places
Answer: 194.71cm²
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4.
Ratio
a:b is 9:7 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 36:28:7
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5.
Statistics
Find the mean, median and range of: 25, 62, 87, 67, 100, 29, 38, 38, 62. Give your answer to 2 decimal places
Answer: Mean = 56.44, Median = 62, Range = 75