Change pack
Capstone
Jan 24 - 30
25 questions
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1.
Number
Simplify: 4√18
Answer: 12√2
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2.
Algebra
Complete the square: x² + 11x - 6
Answer: (x + 11⁄2)² - 145⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 30cm, angle = 51°. Give your answer to 2 decimal places
Answer: 314.74cm²
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4.
Ratio
a:b is 1:3 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 7:21:15
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5.
Statistics
Find the mean, median and range of: 17, 60, 63, 71, 17, 16, 12. Give your answer to 2 decimal places
Answer: Mean = 36.57, Median = 17, Range = 59
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1.
Number
Simplify: 5√28
Answer: 10√7
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2.
Algebra
Complete the square: x² + 3x + 6
Answer: (x + 3⁄2)² + 15⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 14cm, angle = 77°. Give your answer to 2 decimal places
Answer: 184.16cm²
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4.
Ratio
a:b is 8:9 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 32:36:27
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5.
Statistics
Find the mean, median and range of: 83, 71, 89, 57, 71, 25, 30, 91. Give your answer to 2 decimal places
Answer: Mean = 64.63, Median = 71, Range = 66
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: 2x² + 16x + 9
Answer: 2(x + 4)² - 23
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3.
Geometry
Find area of triangle: a = 17cm, b = 12cm, angle = 53°. Give your answer to 2 decimal places
Answer: 81.46cm²
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4.
Ratio
a:b is 5:6 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 20:24:3
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5.
Statistics
Find the mean, median and range of: 39, 16, 44, 57, 36, 37, 89, 41, 88. Give your answer to 2 decimal places
Answer: Mean = 49.67, Median = 41, Range = 73
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1.
Number
Simplify: √180
Answer: 6√5
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2.
Algebra
Complete the square: x² - 11x + 7
Answer: (x - 11⁄2)² - 93⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 14cm, angle = 55°. Give your answer to 2 decimal places
Answer: 103.21cm²
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4.
Ratio
a:b is 5:7 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 10:14:7
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5.
Statistics
Find the mean, median and range of: 93, 65, 56, 25, 24, 35, 15. Give your answer to 2 decimal places
Answer: Mean = 44.71, Median = 35, Range = 78
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1.
Number
Simplify: √448
Answer: 8√7
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2.
Algebra
Complete the square: x² + 11x
Answer: (x + 11⁄2)² - 121⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 28cm, angle = 62°. Give your answer to 2 decimal places
Answer: 346.12cm²
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4.
Ratio
a:b is 6:5 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 18:15:25
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5.
Statistics
Find the mean, median and range of: 76, 89, 95, 96, 16, 50, 59, 48, 93. Give your answer to 2 decimal places
Answer: Mean = 69.11, Median = 76, Range = 80