Change pack
Capstone
Dec 23 - 29
25 questions
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1.
Number
Simplify: 2√32
Answer: 8√2
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2.
Algebra
Complete the square: x² - 3x + 6
Answer: (x - 3⁄2)² + 15⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 16cm, angle = 72°. Give your answer to 2 decimal places
Answer: 182.6cm²
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4.
Ratio
a:b is 9:5 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 63:35:45
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5.
Statistics
Find the mean, median and range of: 97, 73, 68, 56, 15, 46, 35, 14
Answer: Mean = 50.5, Median = 51, Range = 83
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1.
Number
Simplify: 5√48
Answer: 20√3
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2.
Algebra
Complete the square: x² + 11x + 12
Answer: (x + 11⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 23cm, angle = 61°. Give your answer to 2 decimal places
Answer: 291.69cm²
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4.
Ratio
a:b is 5:7 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 25:35:63
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5.
Statistics
Find the mean, median and range of: 15, 23, 77, 61, 81, 69, 42, 47, 41. Give your answer to 2 decimal places
Answer: Mean = 50.67, Median = 47, Range = 66
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1.
Number
Simplify: √540
Answer: 6√15
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2.
Algebra
Complete the square: 4x² - 32x - 7
Answer: 4(x - 4)² - 71
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3.
Geometry
Find area of triangle: a = 19cm, b = 17cm, angle = 47°. Give your answer to 2 decimal places
Answer: 118.11cm²
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4.
Ratio
a:b is 2:9 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 16:72:9
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5.
Statistics
Find the mean, median and range of: 45, 93, 90, 50, 27, 86, 95, 93. Give your answer to 2 decimal places
Answer: Mean = 72.38, Median = 88, Range = 68
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1.
Number
Simplify: 4√48
Answer: 16√3
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2.
Algebra
Complete the square: x² + 7x + 6
Answer: (x + 7⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 24cm, angle = 73°. Give your answer to 2 decimal places
Answer: 149.18cm²
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4.
Ratio
a:b is 1:5 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 2:10:35
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5.
Statistics
Find the mean, median and range of: 14, 57, 95, 11, 31, 39, 77, 42
Answer: Mean = 45.75, Median = 40.5, Range = 84
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1.
Number
Simplify: 4√176
Answer: 16√11
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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 = 20cm, b = 26cm, angle = 61°. Give your answer to 2 decimal places
Answer: 227.4cm²
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4.
Ratio
a:b is 8:3 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 16:6:15
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5.
Statistics
Find the mean, median and range of: 63, 85, 10, 40, 74, 89, 27, 63, 52. Give your answer to 2 decimal places
Answer: Mean = 55.89, Median = 63, Range = 79