Change pack
Capstone
Dec 26 - Jan 1
25 questions
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1.
Number
Simplify: √275
Answer: 5√11
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2.
Algebra
Complete the square: 5x² + 10x + 8
Answer: 5(x + 1)² + 3
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3.
Geometry
Find area of triangle: a = 26cm, b = 23cm, angle = 40°. Give your answer to 2 decimal places
Answer: 192.19cm²
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4.
Ratio
a:b is 8:3 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 32:12:3
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5.
Statistics
Find the mean, median and range of: 97, 88, 92, 59, 46, 13, 81, 58, 71. Give your answer to 2 decimal places
Answer: Mean = 67.22, Median = 71, Range = 84
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1.
Number
Simplify: √550
Answer: 5√22
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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 = 17cm, b = 12cm, angle = 44°. Give your answer to 2 decimal places
Answer: 70.86cm²
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4.
Ratio
a:b is 7:9 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 14:18:21
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5.
Statistics
Find the mean, median and range of: 27, 91, 75, 74, 29, 64, 51. Give your answer to 2 decimal places
Answer: Mean = 58.71, Median = 64, Range = 64
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1.
Number
Simplify: 5√80
Answer: 20√5
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2.
Algebra
Complete the square: x² - 9x + 6
Answer: (x - 9⁄2)² - 57⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 19cm, angle = 49°. Give your answer to 2 decimal places
Answer: 186.41cm²
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4.
Ratio
a:b is 2:3 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 16:24:21
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5.
Statistics
Find the mean, median and range of: 86, 46, 33, 25, 43, 66, 19, 18
Answer: Mean = 42, Median = 38, Range = 68
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1.
Number
Simplify: √175
Answer: 5√7
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2.
Algebra
Complete the square: x² + 9x - 2
Answer: (x + 9⁄2)² - 89⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 19cm, angle = 63°. Give your answer to 2 decimal places
Answer: 228.54cm²
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4.
Ratio
a:b is 7:9 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 35:45:36
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5.
Statistics
Find the mean, median and range of: 77, 37, 40, 93, 74, 22, 76. Give your answer to 2 decimal places
Answer: Mean = 59.86, Median = 74, Range = 71
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1.
Number
Simplify: √363
Answer: 11√3
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2.
Algebra
Complete the square: 4x² + 16x - 2
Answer: 4(x + 2)² - 18
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3.
Geometry
Find area of triangle: a = 16cm, b = 14cm, angle = 42°. Give your answer to 2 decimal places
Answer: 74.94cm²
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4.
Ratio
a:b is 7:3 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 35:15:27
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5.
Statistics
Find the mean, median and range of: 41, 27, 68, 53, 31, 44, 71, 98, 51. Give your answer to 2 decimal places
Answer: Mean = 53.78, Median = 51, Range = 71