Change pack
Capstone
Aug 15 - 21
25 questions
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1.
Number
Simplify: √891
Answer: 9√11
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2.
Algebra
Complete the square: x² + 9x + 3
Answer: (x + 9⁄2)² - 69⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 30cm, angle = 42°. Give your answer to 2 decimal places
Answer: 240.89cm²
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4.
Ratio
a:b is 9:5 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 36:20:25
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5.
Statistics
Find the mean, median and range of: 31, 38, 70, 22, 19, 22, 38, 24
Answer: Mean = 33, Median = 27.5, Range = 51
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1.
Number
Simplify: √375
Answer: 5√15
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2.
Algebra
Complete the square: 3x² - 24x + 10
Answer: 3(x - 4)² - 38
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3.
Geometry
Find area of triangle: a = 13cm, b = 27cm, angle = 73°. Give your answer to 2 decimal places
Answer: 167.83cm²
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4.
Ratio
a:b is 2:5 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 6:15:40
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5.
Statistics
Find the mean, median and range of: 15, 16, 26, 28, 52, 76, 51. Give your answer to 2 decimal places
Answer: Mean = 37.71, Median = 28, Range = 61
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1.
Number
Simplify: √432
Answer: 12√3
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2.
Algebra
Complete the square: 3x² + 30x + 4
Answer: 3(x + 5)² - 71
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3.
Geometry
Find area of triangle: a = 26cm, b = 13cm, angle = 72°. Give your answer to 2 decimal places
Answer: 160.73cm²
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4.
Ratio
a:b is 2:3 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 4:6:15
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5.
Statistics
Find the mean, median and range of: 67, 75, 47, 33, 73, 80, 97. Give your answer to 2 decimal places
Answer: Mean = 67.43, Median = 73, Range = 64
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1.
Number
Simplify: √567
Answer: 9√7
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2.
Algebra
Complete the square: x² - x - 2
Answer: (x - 1⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 16cm, angle = 50°. Give your answer to 2 decimal places
Answer: 134.82cm²
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4.
Ratio
a:b is 9:8 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 27:24:56
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5.
Statistics
Find the mean, median and range of: 63, 48, 89, 71, 44, 33, 99. Give your answer to 2 decimal places
Answer: Mean = 63.86, Median = 63, Range = 66
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1.
Number
Simplify: √175
Answer: 5√7
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2.
Algebra
Complete the square: 4x² + 24x - 15
Answer: 4(x + 3)² - 51
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3.
Geometry
Find area of triangle: a = 29cm, b = 21cm, angle = 61°. Give your answer to 2 decimal places
Answer: 266.32cm²
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4.
Ratio
a:b is 2:7 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 16:56:49
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5.
Statistics
Find the mean, median and range of: 60, 72, 62, 16, 60, 27, 54, 59
Answer: Mean = 51.25, Median = 59.5, Range = 56