Change pack
Capstone
Aug 5 - 11
25 questions
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1.
Number
Simplify: 5√32
Answer: 20√2
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2.
Algebra
Complete the square: x² + 11x - 8
Answer: (x + 11⁄2)² - 153⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 19cm, angle = 61°. Give your answer to 2 decimal places
Answer: 249.27cm²
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4.
Ratio
a:b is 3:8 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 15:40:8
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5.
Statistics
Find the mean, median and range of: 84, 72, 91, 68, 35, 56, 59, 10, 88. Give your answer to 2 decimal places
Answer: Mean = 62.56, Median = 68, Range = 81
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1.
Number
Simplify: √175
Answer: 5√7
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2.
Algebra
Complete the square: 5x² + 20x + 2
Answer: 5(x + 2)² - 18
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3.
Geometry
Find area of triangle: a = 17cm, b = 30cm, angle = 47°. Give your answer to 2 decimal places
Answer: 186.5cm²
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4.
Ratio
a:b is 5:8 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 25:40:72
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5.
Statistics
Find the mean, median and range of: 18, 18, 88, 20, 42, 75, 27, 62
Answer: Mean = 43.75, Median = 34.5, Range = 70
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: 3x² + 30x - 14
Answer: 3(x + 5)² - 89
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3.
Geometry
Find area of triangle: a = 17cm, b = 26cm, angle = 80°. Give your answer to 2 decimal places
Answer: 217.64cm²
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4.
Ratio
a:b is 6:5 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 42:35:30
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5.
Statistics
Find the mean, median and range of: 37, 39, 33, 60, 13, 65, 34, 46. Give your answer to 2 decimal places
Answer: Mean = 40.88, Median = 38, Range = 52
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1.
Number
Simplify: √375
Answer: 5√15
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2.
Algebra
Complete the square: x² + x + 12
Answer: (x + 1⁄2)² + 47⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 26cm, angle = 80°. Give your answer to 2 decimal places
Answer: 281.66cm²
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4.
Ratio
a:b is 4:3 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 8:6:15
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5.
Statistics
Find the mean, median and range of: 92, 95, 20, 21, 90, 30, 91, 24, 25. Give your answer to 2 decimal places
Answer: Mean = 54.22, Median = 30, Range = 75
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1.
Number
Simplify: √720
Answer: 12√5
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2.
Algebra
Complete the square: x² - 9x + 2
Answer: (x - 9⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 19cm, angle = 65°. Give your answer to 2 decimal places
Answer: 103.32cm²
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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: 45, 34, 63, 26, 27, 99, 65, 38. Give your answer to 2 decimal places
Answer: Mean = 49.63, Median = 41.5, Range = 73