Change pack
Capstone
Jul 29 - Aug 4
25 questions
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1.
Number
Simplify: 4√63
Answer: 12√7
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2.
Algebra
Complete the square: x² - 9x + 7
Answer: (x - 9⁄2)² - 53⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 26cm, angle = 40°. Give your answer to 2 decimal places
Answer: 208.91cm²
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4.
Ratio
a:b is 3:5 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 24:40:5
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5.
Statistics
Find the mean, median and range of: 41, 95, 12, 10, 96, 44, 88, 83, 64. Give your answer to 2 decimal places
Answer: Mean = 59.22, Median = 64, Range = 86
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: 3x² + 30x - 13
Answer: 3(x + 5)² - 88
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3.
Geometry
Find area of triangle: a = 24cm, b = 26cm, angle = 54°. Give your answer to 2 decimal places
Answer: 252.41cm²
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4.
Ratio
a:b is 1:5 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 8:40:5
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5.
Statistics
Find the mean, median and range of: 15, 35, 11, 90, 51, 97, 72, 12. Give your answer to 2 decimal places
Answer: Mean = 47.88, Median = 43, Range = 86
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1.
Number
Simplify: √160
Answer: 4√10
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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 = 28cm, b = 13cm, angle = 76°. Give your answer to 2 decimal places
Answer: 176.59cm²
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4.
Ratio
a:b is 2:7 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 6:21:28
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5.
Statistics
Find the mean, median and range of: 86, 97, 75, 95, 26, 48, 32, 23
Answer: Mean = 60.25, Median = 61.5, Range = 74
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1.
Number
Simplify: √500
Answer: 10√5
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2.
Algebra
Complete the square: x² + 5x + 11
Answer: (x + 5⁄2)² + 19⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 16cm, angle = 75°. Give your answer to 2 decimal places
Answer: 162.28cm²
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4.
Ratio
a:b is 5:8 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 45:72:16
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5.
Statistics
Find the mean, median and range of: 42, 21, 41, 75, 68, 94, 30, 39, 39. Give your answer to 2 decimal places
Answer: Mean = 49.89, Median = 41, Range = 73
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1.
Number
Simplify: 2√44
Answer: 4√11
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2.
Algebra
Complete the square: 3x² + 6x - 5
Answer: 3(x + 1)² - 8
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3.
Geometry
Find area of triangle: a = 12cm, b = 22cm, angle = 50°. Give your answer to 2 decimal places
Answer: 101.12cm²
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4.
Ratio
a:b is 9:2 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 45:10:14
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5.
Statistics
Find the mean, median and range of: 47, 69, 37, 99, 37, 53, 38. Give your answer to 2 decimal places
Answer: Mean = 54.29, Median = 47, Range = 62