Change pack
Capstone
May 20 - 26
25 questions
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1.
Number
Simplify: √432
Answer: 12√3
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2.
Algebra
Complete the square: 3x² + 18x + 12
Answer: 3(x + 3)² - 15
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3.
Geometry
Find area of triangle: a = 14cm, b = 12cm, angle = 64°. Give your answer to 2 decimal places
Answer: 75.5cm²
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4.
Ratio
a:b is 4:7 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 36:63:14
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5.
Statistics
Find the mean, median and range of: 67, 63, 22, 81, 77, 55, 37. Give your answer to 2 decimal places
Answer: Mean = 57.43, Median = 63, Range = 59
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1.
Number
Simplify: 3√20
Answer: 6√5
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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 = 27cm, b = 16cm, angle = 61°. Give your answer to 2 decimal places
Answer: 188.92cm²
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4.
Ratio
a:b is 8:3 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 40:15:3
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5.
Statistics
Find the mean, median and range of: 93, 43, 65, 99, 89, 38, 45. Give your answer to 2 decimal places
Answer: Mean = 67.43, Median = 65, Range = 61
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1.
Number
Simplify: 4√112
Answer: 16√7
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2.
Algebra
Complete the square: x² - 3x + 7
Answer: (x - 3⁄2)² + 19⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 24cm, angle = 64°. Give your answer to 2 decimal places
Answer: 129.43cm²
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4.
Ratio
a:b is 7:5 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 56:40:45
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5.
Statistics
Find the mean, median and range of: 59, 98, 65, 98, 50, 10, 59, 21, 68. Give your answer to 2 decimal places
Answer: Mean = 58.67, Median = 59, Range = 88
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: 2x² - 16x + 13
Answer: 2(x - 4)² - 19
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3.
Geometry
Find area of triangle: a = 26cm, b = 20cm, angle = 63°. Give your answer to 2 decimal places
Answer: 231.66cm²
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4.
Ratio
a:b is 3:4 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 9:12:10
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5.
Statistics
Find the mean, median and range of: 80, 65, 56, 51, 45, 64, 88, 94. Give your answer to 2 decimal places
Answer: Mean = 67.88, Median = 64.5, Range = 49
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1.
Number
Simplify: 2√27
Answer: 6√3
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2.
Algebra
Complete the square: x² + x + 2
Answer: (x + 1⁄2)² + 7⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 23cm, angle = 69°. Give your answer to 2 decimal places
Answer: 311.35cm²
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4.
Ratio
a:b is 4:3 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 28:21:9
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5.
Statistics
Find the mean, median and range of: 12, 39, 79, 27, 23, 94, 96, 24
Answer: Mean = 49.25, Median = 33, Range = 84