Change pack
Capstone
Jun 24 - 30
25 questions
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1.
Number
Simplify: √847
Answer: 11√7
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2.
Algebra
Complete the square: 5x² - 50x - 5
Answer: 5(x - 5)² - 130
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3.
Geometry
Find area of triangle: a = 28cm, b = 21cm, angle = 60°. Give your answer to 2 decimal places
Answer: 254.61cm²
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4.
Ratio
a:b is 1:7 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 3:21:28
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5.
Statistics
Find the mean, median and range of: 87, 50, 24, 98, 18, 62, 79, 68
Answer: Mean = 60.75, Median = 65, Range = 80
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1.
Number
Simplify: √363
Answer: 11√3
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2.
Algebra
Complete the square: 4x² + 24x + 7
Answer: 4(x + 3)² - 29
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3.
Geometry
Find area of triangle: a = 21cm, b = 13cm, angle = 46°. Give your answer to 2 decimal places
Answer: 98.19cm²
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4.
Ratio
a:b is 2:3 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 10:15:12
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5.
Statistics
Find the mean, median and range of: 18, 59, 15, 37, 54, 43, 92, 26
Answer: Mean = 43, Median = 40, Range = 77
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1.
Number
Simplify: 5√90
Answer: 15√10
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2.
Algebra
Complete the square: x² - 11x + 5
Answer: (x - 11⁄2)² - 101⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 17cm, angle = 73°. Give your answer to 2 decimal places
Answer: 154.44cm²
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4.
Ratio
a:b is 7:8 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 49:56:48
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5.
Statistics
Find the mean, median and range of: 97, 49, 51, 96, 86, 26, 40. Give your answer to 2 decimal places
Answer: Mean = 63.57, Median = 51, Range = 71
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1.
Number
Simplify: √864
Answer: 12√6
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2.
Algebra
Complete the square: 4x² + 24x - 9
Answer: 4(x + 3)² - 45
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3.
Geometry
Find area of triangle: a = 25cm, b = 18cm, angle = 57°. Give your answer to 2 decimal places
Answer: 188.7cm²
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4.
Ratio
a:b is 8:9 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 56:63:45
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5.
Statistics
Find the mean, median and range of: 64, 54, 90, 83, 63, 22, 49, 31
Answer: Mean = 57, Median = 58.5, Range = 68
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1.
Number
Simplify: √300
Answer: 10√3
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2.
Algebra
Complete the square: 4x² - 24x + 3
Answer: 4(x - 3)² - 33
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3.
Geometry
Find area of triangle: a = 27cm, b = 24cm, angle = 47°. Give your answer to 2 decimal places
Answer: 236.96cm²
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4.
Ratio
a:b is 3:4 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 9:12:10
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5.
Statistics
Find the mean, median and range of: 44, 48, 20, 24, 91, 30, 98, 64. Give your answer to 2 decimal places
Answer: Mean = 52.38, Median = 46, Range = 78