Change pack
Capstone
Nov 20 - 26
25 questions
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1.
Number
Simplify: √1000
Answer: 10√10
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2.
Algebra
Complete the square: x² - 7x + 5
Answer: (x - 7⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 21cm, angle = 80°. Give your answer to 2 decimal places
Answer: 237.83cm²
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4.
Ratio
a:b is 4:9 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 16:36:45
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5.
Statistics
Find the mean, median and range of: 87, 85, 72, 17, 56, 39, 68, 41, 87. Give your answer to 2 decimal places
Answer: Mean = 61.33, Median = 68, Range = 70
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1.
Number
Simplify: √175
Answer: 5√7
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2.
Algebra
Complete the square: 2x² + 24x - 3
Answer: 2(x + 6)² - 75
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3.
Geometry
Find area of triangle: a = 21cm, b = 23cm, angle = 69°. Give your answer to 2 decimal places
Answer: 225.46cm²
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4.
Ratio
a:b is 5:6 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 35:42:6
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5.
Statistics
Find the mean, median and range of: 54, 86, 88, 38, 85, 38, 61. Give your answer to 2 decimal places
Answer: Mean = 64.29, Median = 61, Range = 50
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1.
Number
Simplify: √240
Answer: 4√15
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2.
Algebra
Complete the square: 4x² - 16x + 15
Answer: 4(x - 2)² - 1
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3.
Geometry
Find area of triangle: a = 13cm, b = 26cm, angle = 69°. Give your answer to 2 decimal places
Answer: 157.78cm²
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4.
Ratio
a:b is 1:7 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 8:56:49
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5.
Statistics
Find the mean, median and range of: 49, 26, 96, 25, 65, 39, 60, 17, 42. Give your answer to 2 decimal places
Answer: Mean = 46.56, Median = 42, Range = 79
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1.
Number
Simplify: 2√250
Answer: 10√10
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2.
Algebra
Complete the square: x² - 7x - 1
Answer: (x - 7⁄2)² - 53⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 22cm, angle = 78°. Give your answer to 2 decimal places
Answer: 129.12cm²
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4.
Ratio
a:b is 5:3 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 25:15:24
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5.
Statistics
Find the mean, median and range of: 37, 18, 29, 10, 39, 65, 100. Give your answer to 2 decimal places
Answer: Mean = 42.57, Median = 37, Range = 90
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1.
Number
Simplify: √539
Answer: 7√11
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2.
Algebra
Complete the square: x² + 5x - 1
Answer: (x + 5⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 22cm, angle = 42°. Give your answer to 2 decimal places
Answer: 95.69cm²
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4.
Ratio
a:b is 6:7 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 12:14:49
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5.
Statistics
Find the mean, median and range of: 34, 19, 61, 64, 10, 94, 48. Give your answer to 2 decimal places
Answer: Mean = 47.14, Median = 48, Range = 84