Change pack
Capstone
Dec 14 - 20
25 questions
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1.
Number
Simplify: 3√18
Answer: 9√2
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2.
Algebra
Complete the square: 2x² + 4x - 13
Answer: 2(x + 1)² - 15
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3.
Geometry
Find area of triangle: a = 24cm, b = 15cm, angle = 80°. Give your answer to 2 decimal places
Answer: 177.27cm²
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4.
Ratio
a:b is 9:2 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 27:6:16
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5.
Statistics
Find the mean, median and range of: 64, 21, 49, 95, 12, 83, 74, 12
Answer: Mean = 51.25, Median = 56.5, Range = 83
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1.
Number
Simplify: 2√176
Answer: 8√11
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2.
Algebra
Complete the square: 3x² - 12x + 10
Answer: 3(x - 2)² - 2
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3.
Geometry
Find area of triangle: a = 29cm, b = 30cm, angle = 45°. Give your answer to 2 decimal places
Answer: 307.59cm²
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4.
Ratio
a:b is 8:7 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 64:56:35
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5.
Statistics
Find the mean, median and range of: 52, 59, 55, 98, 30, 75, 87, 60, 78
Answer: Mean = 66, Median = 60, Range = 68
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1.
Number
Simplify: √605
Answer: 11√5
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2.
Algebra
Complete the square: 5x² + 20x + 2
Answer: 5(x + 2)² - 18
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3.
Geometry
Find area of triangle: a = 24cm, b = 18cm, angle = 71°. Give your answer to 2 decimal places
Answer: 204.23cm²
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4.
Ratio
a:b is 5:2 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 25:10:6
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5.
Statistics
Find the mean, median and range of: 35, 68, 64, 57, 94, 35, 35, 17. Give your answer to 2 decimal places
Answer: Mean = 50.63, Median = 46, Range = 77
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1.
Number
Simplify: 3√275
Answer: 15√11
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2.
Algebra
Complete the square: x² - 5x + 8
Answer: (x - 5⁄2)² + 7⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 30cm, angle = 45°. Give your answer to 2 decimal places
Answer: 222.74cm²
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4.
Ratio
a:b is 9:2 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 81:18:8
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5.
Statistics
Find the mean, median and range of: 46, 80, 63, 47, 20, 32, 17. Give your answer to 2 decimal places
Answer: Mean = 43.57, Median = 46, Range = 63
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1.
Number
Simplify: √448
Answer: 8√7
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2.
Algebra
Complete the square: x² - 11x - 8
Answer: (x - 11⁄2)² - 153⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 18cm, angle = 50°. Give your answer to 2 decimal places
Answer: 124.cm²
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4.
Ratio
a:b is 9:7 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 18:14:21
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5.
Statistics
Find the mean, median and range of: 30, 48, 81, 96, 83, 39, 62, 15, 27. Give your answer to 2 decimal places
Answer: Mean = 53.44, Median = 48, Range = 81