Change pack
Capstone
May 18 - 24
25 questions
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1.
Number
Simplify: 5√99
Answer: 15√11
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2.
Algebra
Complete the square: 2x² - 24x + 5
Answer: 2(x - 6)² - 67
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3.
Geometry
Find area of triangle: a = 16cm, b = 22cm, angle = 51°. Give your answer to 2 decimal places
Answer: 136.78cm²
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4.
Ratio
a:b is 7:8 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 21:24:32
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5.
Statistics
Find the mean, median and range of: 58, 65, 41, 88, 96, 55, 50. Give your answer to 2 decimal places
Answer: Mean = 64.71, Median = 58, Range = 55
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1.
Number
Simplify: √160
Answer: 4√10
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2.
Algebra
Complete the square: 5x² + 40x + 2
Answer: 5(x + 4)² - 78
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3.
Geometry
Find area of triangle: a = 12cm, b = 28cm, angle = 74°. Give your answer to 2 decimal places
Answer: 161.49cm²
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4.
Ratio
a:b is 5:4 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 25:20:24
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5.
Statistics
Find the mean, median and range of: 13, 97, 82, 59, 88, 42, 10, 86, 90
Answer: Mean = 63, Median = 82, Range = 87
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1.
Number
Simplify: √405
Answer: 9√5
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2.
Algebra
Complete the square: 3x² + 24x + 5
Answer: 3(x + 4)² - 43
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3.
Geometry
Find area of triangle: a = 12cm, b = 13cm, angle = 49°. Give your answer to 2 decimal places
Answer: 58.87cm²
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4.
Ratio
a:b is 1:7 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 9:63:28
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5.
Statistics
Find the mean, median and range of: 54, 49, 53, 38, 29, 13, 16, 78
Answer: Mean = 41.25, Median = 43.5, Range = 65
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1.
Number
Simplify: 4√90
Answer: 12√10
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2.
Algebra
Complete the square: x² - x + 5
Answer: (x - 1⁄2)² + 19⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 12cm, angle = 76°. Give your answer to 2 decimal places
Answer: 116.44cm²
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4.
Ratio
a:b is 1:9 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 7:63:72
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5.
Statistics
Find the mean, median and range of: 63, 17, 40, 73, 40, 29, 93, 96, 71
Answer: Mean = 58, Median = 63, Range = 79
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1.
Number
Simplify: 4√12
Answer: 8√3
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2.
Algebra
Complete the square: x² - 9x - 6
Answer: (x - 9⁄2)² - 105⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 15cm, angle = 55°. Give your answer to 2 decimal places
Answer: 104.44cm²
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4.
Ratio
a:b is 4:9 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 28:63:9
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5.
Statistics
Find the mean, median and range of: 61, 49, 74, 13, 31, 90, 40, 34
Answer: Mean = 49, Median = 44.5, Range = 77