Change pack
Capstone
Aug 1 - 7
25 questions
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1.
Number
Simplify: √48
Answer: 4√3
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2.
Algebra
Complete the square: 2x² - 4x + 14
Answer: 2(x - 1)² + 12
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3.
Geometry
Find area of triangle: a = 13cm, b = 19cm, angle = 48°. Give your answer to 2 decimal places
Answer: 91.78cm²
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4.
Ratio
a:b is 7:4 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 35:20:24
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5.
Statistics
Find the mean, median and range of: 91, 38, 100, 10, 45, 15, 68. Give your answer to 2 decimal places
Answer: Mean = 52.43, Median = 45, Range = 90
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1.
Number
Simplify: 3√63
Answer: 9√7
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2.
Algebra
Complete the square: 5x² + 30x + 13
Answer: 5(x + 3)² - 32
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3.
Geometry
Find area of triangle: a = 29cm, b = 23cm, angle = 53°. Give your answer to 2 decimal places
Answer: 266.34cm²
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4.
Ratio
a:b is 1:9 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 5:45:63
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5.
Statistics
Find the mean, median and range of: 45, 24, 90, 55, 84, 85, 15, 52
Answer: Mean = 56.25, Median = 53.5, Range = 75
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: 3x² + 36x + 4
Answer: 3(x + 6)² - 104
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3.
Geometry
Find area of triangle: a = 24cm, b = 25cm, angle = 42°. Give your answer to 2 decimal places
Answer: 200.74cm²
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4.
Ratio
a:b is 2:3 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 14:21:3
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5.
Statistics
Find the mean, median and range of: 63, 30, 30, 71, 68, 24, 42. Give your answer to 2 decimal places
Answer: Mean = 46.86, Median = 42, Range = 47
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1.
Number
Simplify: 4√96
Answer: 16√6
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2.
Algebra
Complete the square: x² - x - 7
Answer: (x - 1⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 13cm, angle = 76°. Give your answer to 2 decimal places
Answer: 145.06cm²
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4.
Ratio
a:b is 5:4 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 15:12:4
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5.
Statistics
Find the mean, median and range of: 87, 41, 54, 57, 62, 79, 55. Give your answer to 2 decimal places
Answer: Mean = 62.14, Median = 57, Range = 46
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1.
Number
Simplify: √486
Answer: 9√6
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2.
Algebra
Complete the square: 5x² - 60x + 14
Answer: 5(x - 6)² - 166
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3.
Geometry
Find area of triangle: a = 13cm, b = 19cm, angle = 54°. Give your answer to 2 decimal places
Answer: 99.91cm²
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4.
Ratio
a:b is 1:9 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 2:18:81
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5.
Statistics
Find the mean, median and range of: 31, 59, 11, 51, 33, 94, 97, 36
Answer: Mean = 51.5, Median = 43.5, Range = 86