Change pack
Capstone
Mar 31 - Apr 6
25 questions
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1.
Number
Simplify: √250
Answer: 5√10
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2.
Algebra
Complete the square: 2x² - 12x
Answer: 2(x - 3)² - 18
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3.
Geometry
Find area of triangle: a = 15cm, b = 24cm, angle = 71°. Give your answer to 2 decimal places
Answer: 170.19cm²
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4.
Ratio
a:b is 5:7 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 15:21:7
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5.
Statistics
Find the mean, median and range of: 39, 45, 15, 83, 100, 27, 25, 36, 39. Give your answer to 2 decimal places
Answer: Mean = 45.44, Median = 39, Range = 85
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1.
Number
Simplify: √304
Answer: 4√19
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2.
Algebra
Complete the square: x² + 3x + 8
Answer: (x + 3⁄2)² + 23⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 14cm, angle = 57°. Give your answer to 2 decimal places
Answer: 123.28cm²
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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: 99, 65, 86, 11, 24, 75, 57. Give your answer to 2 decimal places
Answer: Mean = 59.57, Median = 65, Range = 88
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1.
Number
Simplify: 3√8
Answer: 6√2
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2.
Algebra
Complete the square: 5x² + 10x + 7
Answer: 5(x + 1)² + 2
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3.
Geometry
Find area of triangle: a = 30cm, b = 24cm, angle = 68°. Give your answer to 2 decimal places
Answer: 333.79cm²
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4.
Ratio
a:b is 1:5 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 3:15:5
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5.
Statistics
Find the mean, median and range of: 41, 12, 78, 20, 66, 95, 64, 100, 85. Give your answer to 2 decimal places
Answer: Mean = 62.33, Median = 66, Range = 88
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1.
Number
Simplify: √48
Answer: 4√3
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2.
Algebra
Complete the square: 5x² - 50x
Answer: 5(x - 5)² - 125
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3.
Geometry
Find area of triangle: a = 27cm, b = 24cm, angle = 65°. Give your answer to 2 decimal places
Answer: 293.64cm²
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4.
Ratio
a:b is 6:5 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 36:30:5
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5.
Statistics
Find the mean, median and range of: 32, 89, 55, 95, 54, 11, 27. Give your answer to 2 decimal places
Answer: Mean = 51.86, Median = 54, Range = 84
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1.
Number
Simplify: √486
Answer: 9√6
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2.
Algebra
Complete the square: 4x² + 40x + 5
Answer: 4(x + 5)² - 95
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3.
Geometry
Find area of triangle: a = 23cm, b = 29cm, angle = 43°. Give your answer to 2 decimal places
Answer: 227.45cm²
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4.
Ratio
a:b is 9:8 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 81:72:8
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5.
Statistics
Find the mean, median and range of: 74, 44, 72, 42, 25, 59, 25, 58, 69
Answer: Mean = 52, Median = 58, Range = 49