Change pack
Capstone
Dec 17 - 23
25 questions
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: 4x² - 40x - 14
Answer: 4(x - 5)² - 114
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3.
Geometry
Find area of triangle: a = 16cm, b = 30cm, angle = 73°. Give your answer to 2 decimal places
Answer: 229.51cm²
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4.
Ratio
a:b is 1:2 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 5:10:16
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5.
Statistics
Find the mean, median and range of: 52, 10, 33, 69, 99, 23, 41. Give your answer to 2 decimal places
Answer: Mean = 46.71, Median = 41, Range = 89
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1.
Number
Simplify: 3√90
Answer: 9√10
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2.
Algebra
Complete the square: x² - 5x - 11
Answer: (x - 5⁄2)² - 69⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 28cm, angle = 57°. Give your answer to 2 decimal places
Answer: 176.12cm²
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4.
Ratio
a:b is 1:2 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 5:10:4
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5.
Statistics
Find the mean, median and range of: 51, 71, 58, 44, 10, 69, 21, 66
Answer: Mean = 48.75, Median = 54.5, Range = 61
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1.
Number
Simplify: √160
Answer: 4√10
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2.
Algebra
Complete the square: 5x² - 20x + 11
Answer: 5(x - 2)² - 9
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3.
Geometry
Find area of triangle: a = 22cm, b = 19cm, angle = 55°. Give your answer to 2 decimal places
Answer: 171.2cm²
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4.
Ratio
a:b is 7:5 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 56:40:5
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5.
Statistics
Find the mean, median and range of: 30, 70, 61, 30, 68, 14, 98, 62. Give your answer to 2 decimal places
Answer: Mean = 54.13, Median = 61.5, Range = 84
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1.
Number
Simplify: √891
Answer: 9√11
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2.
Algebra
Complete the square: 2x² - 20x + 15
Answer: 2(x - 5)² - 35
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3.
Geometry
Find area of triangle: a = 14cm, b = 18cm, angle = 54°. Give your answer to 2 decimal places
Answer: 101.94cm²
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4.
Ratio
a:b is 9:7 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 45:35:28
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5.
Statistics
Find the mean, median and range of: 67, 89, 51, 82, 96, 46, 51, 56
Answer: Mean = 67.25, Median = 61.5, Range = 50
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1.
Number
Simplify: 3√99
Answer: 9√11
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2.
Algebra
Complete the square: 4x² - 8x - 10
Answer: 4(x - 1)² - 14
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3.
Geometry
Find area of triangle: a = 22cm, b = 22cm, angle = 40°. Give your answer to 2 decimal places
Answer: 155.55cm²
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4.
Ratio
a:b is 7:9 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 49:63:45
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5.
Statistics
Find the mean, median and range of: 45, 12, 52, 18, 49, 72, 84, 53. Give your answer to 2 decimal places
Answer: Mean = 48.13, Median = 50.5, Range = 72