Change pack
Capstone
Nov 19 - 25
25 questions
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1.
Number
Simplify: 4√12
Answer: 8√3
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2.
Algebra
Complete the square: 4x² + 8x + 14
Answer: 4(x + 1)² + 10
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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 5:4 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 35:28:8
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5.
Statistics
Find the mean, median and range of: 71, 68, 35, 82, 23, 26, 60. Give your answer to 2 decimal places
Answer: Mean = 52.14, Median = 60, Range = 59
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1.
Number
Simplify: √468
Answer: 6√13
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2.
Algebra
Complete the square: x² + 5x - 12
Answer: (x + 5⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 25cm, angle = 56°. Give your answer to 2 decimal places
Answer: 155.44cm²
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4.
Ratio
a:b is 7:8 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 49:56:8
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5.
Statistics
Find the mean, median and range of: 76, 73, 77, 75, 57, 44, 55. Give your answer to 2 decimal places
Answer: Mean = 65.29, Median = 73, Range = 33
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1.
Number
Simplify: √108
Answer: 6√3
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2.
Algebra
Complete the square: x² + x + 6
Answer: (x + 1⁄2)² + 23⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 12cm, angle = 42°. Give your answer to 2 decimal places
Answer: 64.24cm²
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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: 18, 22, 41, 42, 85, 92, 54, 89, 61
Answer: Mean = 56, Median = 54, Range = 74
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1.
Number
Simplify: 4√27
Answer: 12√3
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2.
Algebra
Complete the square: 5x² - 20x - 2
Answer: 5(x - 2)² - 22
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3.
Geometry
Find area of triangle: a = 20cm, b = 29cm, angle = 71°. Give your answer to 2 decimal places
Answer: 274.2cm²
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4.
Ratio
a:b is 9:8 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 45:40:32
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5.
Statistics
Find the mean, median and range of: 64, 25, 77, 28, 21, 70, 73, 98
Answer: Mean = 57, Median = 67, Range = 77
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1.
Number
Simplify: √250
Answer: 5√10
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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 = 15cm, b = 25cm, angle = 53°. Give your answer to 2 decimal places
Answer: 149.74cm²
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4.
Ratio
a:b is 1:9 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 7:63:36
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5.
Statistics
Find the mean, median and range of: 99, 13, 31, 88, 95, 63, 84, 33
Answer: Mean = 63.25, Median = 73.5, Range = 86