Change pack
Capstone
May 29 - Jun 4
25 questions
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1.
Number
Simplify: 2√90
Answer: 6√10
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2.
Algebra
Complete the square: x² - 9x + 8
Answer: (x - 9⁄2)² - 49⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 13cm, angle = 60°. Give your answer to 2 decimal places
Answer: 106.95cm²
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4.
Ratio
a:b is 3:8 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 9:24:4
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5.
Statistics
Find the mean, median and range of: 69, 29, 67, 14, 65, 14, 87, 46. Give your answer to 2 decimal places
Answer: Mean = 48.88, Median = 55.5, Range = 73
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1.
Number
Simplify: 5√75
Answer: 25√3
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2.
Algebra
Complete the square: x² - 3x - 10
Answer: (x - 3⁄2)² - 49⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 29cm, angle = 73°. Give your answer to 2 decimal places
Answer: 402.13cm²
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4.
Ratio
a:b is 5:8 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 15:24:20
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5.
Statistics
Find the mean, median and range of: 83, 18, 52, 76, 18, 87, 38. Give your answer to 2 decimal places
Answer: Mean = 53.14, Median = 52, Range = 69
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1.
Number
Simplify: √726
Answer: 11√6
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2.
Algebra
Complete the square: x² - 3x + 12
Answer: (x - 3⁄2)² + 39⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 24cm, angle = 80°. Give your answer to 2 decimal places
Answer: 295.44cm²
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4.
Ratio
a:b is 8:9 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 56:63:36
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5.
Statistics
Find the mean, median and range of: 35, 67, 56, 75, 47, 16, 29, 33
Answer: Mean = 44.75, Median = 41, Range = 59
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1.
Number
Simplify: √891
Answer: 9√11
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2.
Algebra
Complete the square: 3x² - 12x - 1
Answer: 3(x - 2)² - 13
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3.
Geometry
Find area of triangle: a = 28cm, b = 12cm, angle = 77°. Give your answer to 2 decimal places
Answer: 163.69cm²
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4.
Ratio
a:b is 4:3 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 28:21:9
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5.
Statistics
Find the mean, median and range of: 42, 49, 60, 46, 70, 75, 11, 68. Give your answer to 2 decimal places
Answer: Mean = 52.63, Median = 54.5, Range = 64
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1.
Number
Simplify: 3√63
Answer: 9√7
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2.
Algebra
Complete the square: x² - x + 8
Answer: (x - 1⁄2)² + 31⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 29cm, angle = 57°. Give your answer to 2 decimal places
Answer: 182.41cm²
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4.
Ratio
a:b is 9:2 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 81:18:10
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5.
Statistics
Find the mean, median and range of: 98, 15, 94, 71, 77, 64, 73, 32
Answer: Mean = 65.5, Median = 72, Range = 83