Change pack
Capstone
May 31 - Jun 6
25 questions
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1.
Number
Simplify: √847
Answer: 11√7
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2.
Algebra
Complete the square: x² + 7x - 6
Answer: (x + 7⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 27cm, angle = 51°. Give your answer to 2 decimal places
Answer: 230.81cm²
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4.
Ratio
a:b is 1:4 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 5:20:12
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5.
Statistics
Find the mean, median and range of: 49, 85, 96, 44, 65, 71, 14, 61. Give your answer to 2 decimal places
Answer: Mean = 60.63, Median = 63, Range = 82
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1.
Number
Simplify: 4√45
Answer: 12√5
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2.
Algebra
Complete the square: 5x² - 60x + 5
Answer: 5(x - 6)² - 175
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3.
Geometry
Find area of triangle: a = 29cm, b = 19cm, angle = 76°. Give your answer to 2 decimal places
Answer: 267.32cm²
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4.
Ratio
a:b is 2:5 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 4:10:5
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5.
Statistics
Find the mean, median and range of: 87, 67, 47, 24, 28, 98, 35, 17, 74
Answer: Mean = 53, Median = 47, Range = 81
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1.
Number
Simplify: √48
Answer: 4√3
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2.
Algebra
Complete the square: 3x² - 24x + 3
Answer: 3(x - 4)² - 45
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3.
Geometry
Find area of triangle: a = 13cm, b = 29cm, angle = 45°. Give your answer to 2 decimal places
Answer: 133.29cm²
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4.
Ratio
a:b is 5:6 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 10:12:27
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5.
Statistics
Find the mean, median and range of: 91, 15, 16, 52, 25, 75, 56. Give your answer to 2 decimal places
Answer: Mean = 47.14, Median = 52, Range = 76
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1.
Number
Simplify: √833
Answer: 7√17
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2.
Algebra
Complete the square: 3x² + 30x + 2
Answer: 3(x + 5)² - 73
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3.
Geometry
Find area of triangle: a = 26cm, b = 14cm, angle = 45°. Give your answer to 2 decimal places
Answer: 128.69cm²
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4.
Ratio
a:b is 4:9 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 28:63:27
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5.
Statistics
Find the mean, median and range of: 19, 97, 68, 70, 29, 38, 18, 44. Give your answer to 2 decimal places
Answer: Mean = 47.88, Median = 41, Range = 79
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1.
Number
Simplify: √612
Answer: 6√17
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2.
Algebra
Complete the square: 3x² - 6x - 3
Answer: 3(x - 1)² - 6
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3.
Geometry
Find area of triangle: a = 12cm, b = 30cm, angle = 62°. Give your answer to 2 decimal places
Answer: 158.93cm²
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4.
Ratio
a:b is 5:4 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 45:36:32
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5.
Statistics
Find the mean, median and range of: 47, 25, 48, 26, 73, 48, 93. Give your answer to 2 decimal places
Answer: Mean = 51.43, Median = 48, Range = 68