Change pack
Capstone
Jan 6 - 12
25 questions
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1.
Number
Simplify: 3√160
Answer: 12√10
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2.
Algebra
Complete the square: 2x² + 12x + 12
Answer: 2(x + 3)² - 6
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3.
Geometry
Find area of triangle: a = 16cm, b = 19cm, angle = 67°. Give your answer to 2 decimal places
Answer: 139.92cm²
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4.
Ratio
a:b is 1:5 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 3:15:10
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5.
Statistics
Find the mean, median and range of: 24, 41, 40, 88, 63, 27, 34, 67, 84
Answer: Mean = 52, Median = 41, Range = 64
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1.
Number
Simplify: √726
Answer: 11√6
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2.
Algebra
Complete the square: 3x² + 30x - 1
Answer: 3(x + 5)² - 76
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3.
Geometry
Find area of triangle: a = 19cm, b = 20cm, angle = 66°. Give your answer to 2 decimal places
Answer: 173.57cm²
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4.
Ratio
a:b is 3:4 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 15:20:16
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5.
Statistics
Find the mean, median and range of: 53, 91, 42, 43, 17, 20, 11. Give your answer to 2 decimal places
Answer: Mean = 39.57, Median = 42, Range = 80
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1.
Number
Simplify: √336
Answer: 4√21
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2.
Algebra
Complete the square: x² - x + 9
Answer: (x - 1⁄2)² + 35⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 23cm, angle = 74°. Give your answer to 2 decimal places
Answer: 320.58cm²
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4.
Ratio
a:b is 8:3 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 32:12:21
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5.
Statistics
Find the mean, median and range of: 60, 78, 26, 31, 89, 41, 41, 58, 56. Give your answer to 2 decimal places
Answer: Mean = 53.33, Median = 56, Range = 63
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1.
Number
Simplify: 4√112
Answer: 16√7
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2.
Algebra
Complete the square: 4x² - 24x - 15
Answer: 4(x - 3)² - 51
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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 7:4 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 63:36:28
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5.
Statistics
Find the mean, median and range of: 15, 90, 66, 14, 35, 27, 62, 40. Give your answer to 2 decimal places
Answer: Mean = 43.63, Median = 37.5, Range = 76
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1.
Number
Simplify: √600
Answer: 10√6
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2.
Algebra
Complete the square: 3x² - 12x + 1
Answer: 3(x - 2)² - 11
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3.
Geometry
Find area of triangle: a = 26cm, b = 13cm, angle = 58°. Give your answer to 2 decimal places
Answer: 143.32cm²
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4.
Ratio
a:b is 4:5 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 12:15:5
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5.
Statistics
Find the mean, median and range of: 48, 51, 10, 61, 35, 50, 66. Give your answer to 2 decimal places
Answer: Mean = 45.86, Median = 50, Range = 56