Change pack
Capstone
Aug 19 - 25
25 questions
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1.
Number
Simplify: √180
Answer: 6√5
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2.
Algebra
Complete the square: 4x² - 32x - 12
Answer: 4(x - 4)² - 76
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3.
Geometry
Find area of triangle: a = 25cm, b = 18cm, angle = 76°. Give your answer to 2 decimal places
Answer: 218.32cm²
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4.
Ratio
a:b is 1:4 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 9:36:4
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5.
Statistics
Find the mean, median and range of: 59, 32, 49, 97, 56, 77, 68, 61, 73. Give your answer to 2 decimal places
Answer: Mean = 63.56, Median = 61, Range = 65
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1.
Number
Simplify: √245
Answer: 7√5
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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 = 24cm, b = 13cm, angle = 75°. Give your answer to 2 decimal places
Answer: 150.68cm²
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4.
Ratio
a:b is 7:9 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 14:18:3
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5.
Statistics
Find the mean, median and range of: 75, 70, 54, 15, 16, 98, 99
Answer: Mean = 61, Median = 70, Range = 84
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1.
Number
Simplify: √252
Answer: 6√7
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2.
Algebra
Complete the square: x² + 3x - 1
Answer: (x + 3⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 30cm, angle = 57°. Give your answer to 2 decimal places
Answer: 276.76cm²
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4.
Ratio
a:b is 2:9 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 10:45:54
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5.
Statistics
Find the mean, median and range of: 10, 38, 10, 24, 29, 77, 82. Give your answer to 2 decimal places
Answer: Mean = 38.57, Median = 29, Range = 72
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1.
Number
Simplify: √192
Answer: 8√3
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2.
Algebra
Complete the square: 5x² - 10x - 8
Answer: 5(x - 1)² - 13
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3.
Geometry
Find area of triangle: a = 16cm, b = 29cm, angle = 66°. Give your answer to 2 decimal places
Answer: 211.94cm²
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4.
Ratio
a:b is 4:5 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 8:10:5
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5.
Statistics
Find the mean, median and range of: 45, 49, 24, 17, 59, 24, 85. Give your answer to 2 decimal places
Answer: Mean = 43.29, Median = 45, Range = 68
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1.
Number
Simplify: √325
Answer: 5√13
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2.
Algebra
Complete the square: x² + 5x + 6
Answer: (x + 5⁄2)² - 1⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 14cm, angle = 58°. Give your answer to 2 decimal places
Answer: 83.11cm²
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4.
Ratio
a:b is 3:5 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 21:35:5
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5.
Statistics
Find the mean, median and range of: 35, 39, 78, 76, 56, 13, 87. Give your answer to 2 decimal places
Answer: Mean = 54.86, Median = 56, Range = 74