Change pack
Capstone
Feb 29 - Mar 6
25 questions
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1.
Number
Simplify: √336
Answer: 4√21
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2.
Algebra
Complete the square: 2x² + 8x - 6
Answer: 2(x + 2)² - 14
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3.
Geometry
Find area of triangle: a = 27cm, b = 17cm, angle = 80°. Give your answer to 2 decimal places
Answer: 226.01cm²
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4.
Ratio
a:b is 1:5 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 7:35:10
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5.
Statistics
Find the mean, median and range of: 83, 63, 98, 31, 30, 82, 64. Give your answer to 2 decimal places
Answer: Mean = 64.43, Median = 64, Range = 68
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1.
Number
Simplify: 5√48
Answer: 20√3
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2.
Algebra
Complete the square: x² + 9x
Answer: (x + 9⁄2)² - 81⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 16cm, angle = 69°. Give your answer to 2 decimal places
Answer: 112.03cm²
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4.
Ratio
a:b is 1:8 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 9:72:32
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5.
Statistics
Find the mean, median and range of: 73, 28, 26, 53, 48, 81, 51. Give your answer to 2 decimal places
Answer: Mean = 51.43, Median = 51, Range = 55
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1.
Number
Simplify: √792
Answer: 6√22
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2.
Algebra
Complete the square: x² + 7x - 2
Answer: (x + 7⁄2)² - 57⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 21cm, angle = 71°. Give your answer to 2 decimal places
Answer: 208.49cm²
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4.
Ratio
a:b is 9:2 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 45:10:2
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5.
Statistics
Find the mean, median and range of: 64, 87, 84, 97, 26, 46, 10. Give your answer to 2 decimal places
Answer: Mean = 59.14, Median = 64, Range = 87
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1.
Number
Simplify: √75
Answer: 5√3
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2.
Algebra
Complete the square: x² + 7x - 7
Answer: (x + 7⁄2)² - 77⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 15cm, angle = 47°. Give your answer to 2 decimal places
Answer: 109.7cm²
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4.
Ratio
a:b is 2:3 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 14:21:27
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5.
Statistics
Find the mean, median and range of: 48, 18, 43, 97, 91, 83, 80, 84
Answer: Mean = 68, Median = 81.5, Range = 79
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1.
Number
Simplify: 4√112
Answer: 16√7
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2.
Algebra
Complete the square: 3x² - 6x + 9
Answer: 3(x - 1)² + 6
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3.
Geometry
Find area of triangle: a = 25cm, b = 27cm, angle = 75°. Give your answer to 2 decimal places
Answer: 326cm²
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4.
Ratio
a:b is 7:5 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 49:35:30
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5.
Statistics
Find the mean, median and range of: 60, 48, 69, 22, 48, 71, 72, 54, 73. Give your answer to 2 decimal places
Answer: Mean = 57.44, Median = 60, Range = 51