Change pack
Capstone
Oct 27 - Nov 2
25 questions
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1.
Number
Simplify: √504
Answer: 6√14
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2.
Algebra
Complete the square: 3x² - 24x - 7
Answer: 3(x - 4)² - 55
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3.
Geometry
Find area of triangle: a = 13cm, b = 22cm, angle = 46°. Give your answer to 2 decimal places
Answer: 102.87cm²
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4.
Ratio
a:b is 5:4 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 35:28:32
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5.
Statistics
Find the mean, median and range of: 54, 97, 74, 86, 21, 84, 40. Give your answer to 2 decimal places
Answer: Mean = 65.14, Median = 74, Range = 76
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1.
Number
Simplify: 3√8
Answer: 6√2
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2.
Algebra
Complete the square: x² + x - 12
Answer: (x + 1⁄2)² - 49⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 22cm, angle = 48°. Give your answer to 2 decimal places
Answer: 212.54cm²
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4.
Ratio
a:b is 1:9 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 7:63:81
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5.
Statistics
Find the mean, median and range of: 30, 73, 38, 91, 18, 75, 34, 65
Answer: Mean = 53, Median = 51.5, Range = 73
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1.
Number
Simplify: 3√63
Answer: 9√7
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2.
Algebra
Complete the square: x² - x
Answer: (x - 1⁄2)² - 1⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 15cm, angle = 73°. Give your answer to 2 decimal places
Answer: 129.cm²
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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: 54, 32, 85, 28, 53, 20, 67. Give your answer to 2 decimal places
Answer: Mean = 48.43, Median = 53, Range = 65
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1.
Number
Simplify: √180
Answer: 6√5
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2.
Algebra
Complete the square: x² - 11x + 10
Answer: (x - 11⁄2)² - 81⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 16cm, angle = 57°. Give your answer to 2 decimal places
Answer: 161.02cm²
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4.
Ratio
a:b is 5:6 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 25:30:12
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5.
Statistics
Find the mean, median and range of: 53, 44, 60, 65, 31, 32, 36. Give your answer to 2 decimal places
Answer: Mean = 45.86, Median = 44, Range = 34
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1.
Number
Simplify: 4√12
Answer: 8√3
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2.
Algebra
Complete the square: 2x² + 16x + 9
Answer: 2(x + 4)² - 23
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3.
Geometry
Find area of triangle: a = 20cm, b = 21cm, angle = 74°. Give your answer to 2 decimal places
Answer: 201.86cm²
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4.
Ratio
a:b is 8:7 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 72:63:49
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5.
Statistics
Find the mean, median and range of: 87, 48, 50, 34, 29, 12, 48, 84
Answer: Mean = 49, Median = 48, Range = 75