Change pack
Capstone
Oct 23 - 29
25 questions
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1.
Number
Simplify: √425
Answer: 5√17
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2.
Algebra
Complete the square: 5x² - 10x + 6
Answer: 5(x - 1)² + 1
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3.
Geometry
Find area of triangle: a = 20cm, b = 18cm, angle = 70°. Give your answer to 2 decimal places
Answer: 169.14cm²
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4.
Ratio
a:b is 9:5 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 63:35:15
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5.
Statistics
Find the mean, median and range of: 93, 66, 36, 65, 70, 71, 18. Give your answer to 2 decimal places
Answer: Mean = 59.86, Median = 66, Range = 75
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1.
Number
Simplify: 3√112
Answer: 12√7
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2.
Algebra
Complete the square: x² + 9x + 11
Answer: (x + 9⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 25cm, angle = 51°. Give your answer to 2 decimal places
Answer: 272cm²
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4.
Ratio
a:b is 7:6 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 28:24:15
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5.
Statistics
Find the mean, median and range of: 61, 54, 70, 51, 90, 40, 47, 40, 23. Give your answer to 2 decimal places
Answer: Mean = 52.89, Median = 51, Range = 67
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: 5x² - 50x - 7
Answer: 5(x - 5)² - 132
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3.
Geometry
Find area of triangle: a = 26cm, b = 17cm, angle = 54°. Give your answer to 2 decimal places
Answer: 178.79cm²
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4.
Ratio
a:b is 1:9 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 4:36:9
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5.
Statistics
Find the mean, median and range of: 36, 82, 14, 63, 35, 88, 16, 51. Give your answer to 2 decimal places
Answer: Mean = 48.13, Median = 43.5, Range = 74
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1.
Number
Simplify: √605
Answer: 11√5
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2.
Algebra
Complete the square: 2x² - 24x + 9
Answer: 2(x - 6)² - 63
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3.
Geometry
Find area of triangle: a = 23cm, b = 26cm, angle = 51°. Give your answer to 2 decimal places
Answer: 232.37cm²
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4.
Ratio
a:b is 5:8 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 35:56:8
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5.
Statistics
Find the mean, median and range of: 20, 69, 48, 34, 27, 42, 74. Give your answer to 2 decimal places
Answer: Mean = 44.86, Median = 42, Range = 54
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1.
Number
Simplify: √726
Answer: 11√6
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2.
Algebra
Complete the square: x² - 7x - 9
Answer: (x - 7⁄2)² - 85⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 13cm, angle = 52°. Give your answer to 2 decimal places
Answer: 97.32cm²
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4.
Ratio
a:b is 1:5 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 2:10:35
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5.
Statistics
Find the mean, median and range of: 15, 20, 88, 68, 72, 69, 64. Give your answer to 2 decimal places
Answer: Mean = 56.57, Median = 68, Range = 73