Change pack
Capstone
Mar 21 - 27
25 questions
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1.
Number
Simplify: √72
Answer: 6√2
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2.
Algebra
Complete the square: x² - x + 8
Answer: (x - 1⁄2)² + 31⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 28cm, angle = 58°. Give your answer to 2 decimal places
Answer: 320.56cm²
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4.
Ratio
a:b is 5:2 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 35:14:16
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5.
Statistics
Find the mean, median and range of: 24, 34, 70, 13, 100, 30, 32, 32. Give your answer to 2 decimal places
Answer: Mean = 41.88, Median = 32, Range = 87
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1.
Number
Simplify: √833
Answer: 7√17
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2.
Algebra
Complete the square: 4x² - 48x - 11
Answer: 4(x - 6)² - 155
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3.
Geometry
Find area of triangle: a = 14cm, b = 25cm, angle = 74°. Give your answer to 2 decimal places
Answer: 168.22cm²
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4.
Ratio
a:b is 2:9 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 4:18:81
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5.
Statistics
Find the mean, median and range of: 47, 10, 99, 80, 25, 80, 97. Give your answer to 2 decimal places
Answer: Mean = 62.57, Median = 80, Range = 89
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1.
Number
Simplify: √375
Answer: 5√15
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2.
Algebra
Complete the square: x² + 3x + 3
Answer: (x + 3⁄2)² + 3⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 25cm, angle = 54°. Give your answer to 2 decimal places
Answer: 131.47cm²
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4.
Ratio
a:b is 5:8 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 25:40:56
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5.
Statistics
Find the mean, median and range of: 80, 74, 21, 85, 56, 97, 64, 46. Give your answer to 2 decimal places
Answer: Mean = 65.38, Median = 69, Range = 76
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1.
Number
Simplify: 2√27
Answer: 6√3
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2.
Algebra
Complete the square: x² - 5x - 7
Answer: (x - 5⁄2)² - 53⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 13cm, angle = 48°. Give your answer to 2 decimal places
Answer: 91.78cm²
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4.
Ratio
a:b is 3:4 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 9:12:4
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5.
Statistics
Find the mean, median and range of: 35, 70, 35, 91, 37, 93, 84, 52. Give your answer to 2 decimal places
Answer: Mean = 62.13, Median = 61, Range = 58
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: x² + 3x - 7
Answer: (x + 3⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 16cm, angle = 53°. Give your answer to 2 decimal places
Answer: 159.73cm²
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4.
Ratio
a:b is 5:9 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 25:45:54
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5.
Statistics
Find the mean, median and range of: 33, 76, 81, 71, 68, 25, 51, 77
Answer: Mean = 60.25, Median = 69.5, Range = 56