Change pack
Capstone
Nov 6 - 12
25 questions
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1.
Number
Simplify: √360
Answer: 6√10
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2.
Algebra
Complete the square: 2x² + 8x + 4
Answer: 2(x + 2)² - 4
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3.
Geometry
Find area of triangle: a = 23cm, b = 23cm, angle = 75°. Give your answer to 2 decimal places
Answer: 255.49cm²
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4.
Ratio
a:b is 1:6 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 7:42:54
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5.
Statistics
Find the mean, median and range of: 59, 68, 44, 74, 73, 23, 78. Give your answer to 2 decimal places
Answer: Mean = 59.86, Median = 68, Range = 55
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1.
Number
Simplify: 3√96
Answer: 12√6
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2.
Algebra
Complete the square: x² - 11x + 2
Answer: (x - 11⁄2)² - 113⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 19cm, angle = 77°. Give your answer to 2 decimal places
Answer: 175.87cm²
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4.
Ratio
a:b is 3:7 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 15:35:42
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5.
Statistics
Find the mean, median and range of: 57, 71, 78, 46, 51, 66, 14, 86. Give your answer to 2 decimal places
Answer: Mean = 58.63, Median = 61.5, Range = 72
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1.
Number
Simplify: √245
Answer: 7√5
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2.
Algebra
Complete the square: x² + 11x + 8
Answer: (x + 11⁄2)² - 89⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 28cm, angle = 58°. Give your answer to 2 decimal places
Answer: 344.31cm²
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4.
Ratio
a:b is 5:4 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 15:12:2
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5.
Statistics
Find the mean, median and range of: 23, 27, 19, 93, 98, 86, 43, 31
Answer: Mean = 52.5, Median = 37, Range = 79
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1.
Number
Simplify: 5√99
Answer: 15√11
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2.
Algebra
Complete the square: x² - 3x + 7
Answer: (x - 3⁄2)² + 19⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 27cm, angle = 53°. Give your answer to 2 decimal places
Answer: 161.72cm²
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4.
Ratio
a:b is 5:6 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 20:24:27
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5.
Statistics
Find the mean, median and range of: 56, 55, 38, 63, 46, 86, 57, 38. Give your answer to 2 decimal places
Answer: Mean = 54.88, Median = 55.5, Range = 48
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1.
Number
Simplify: 5√18
Answer: 15√2
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2.
Algebra
Complete the square: x² - 9x - 9
Answer: (x - 9⁄2)² - 117⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 19cm, angle = 40°. Give your answer to 2 decimal places
Answer: 177.09cm²
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4.
Ratio
a:b is 7:6 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 49:42:36
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5.
Statistics
Find the mean, median and range of: 75, 81, 72, 64, 20, 58, 45, 68. Give your answer to 2 decimal places
Answer: Mean = 60.38, Median = 66, Range = 61