Change pack
Capstone
Mar 7 - 13
25 questions
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1.
Number
Simplify: √540
Answer: 6√15
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2.
Algebra
Complete the square: x² + 5x + 7
Answer: (x + 5⁄2)² + 3⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 16cm, angle = 42°. Give your answer to 2 decimal places
Answer: 96.35cm²
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4.
Ratio
a:b is 3:5 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 27:45:35
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5.
Statistics
Find the mean, median and range of: 34, 33, 41, 100, 74, 42, 85, 62, 20. Give your answer to 2 decimal places
Answer: Mean = 54.56, Median = 42, Range = 80
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1.
Number
Simplify: √336
Answer: 4√21
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2.
Algebra
Complete the square: 3x² + 18x + 12
Answer: 3(x + 3)² - 15
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3.
Geometry
Find area of triangle: a = 18cm, b = 15cm, angle = 71°. Give your answer to 2 decimal places
Answer: 127.65cm²
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4.
Ratio
a:b is 4:7 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 8:14:35
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5.
Statistics
Find the mean, median and range of: 80, 91, 99, 95, 54, 40, 38, 47
Answer: Mean = 68, Median = 67, Range = 61
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1.
Number
Simplify: √242
Answer: 11√2
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2.
Algebra
Complete the square: 2x² + 8x + 4
Answer: 2(x + 2)² - 4
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3.
Geometry
Find area of triangle: a = 19cm, b = 28cm, angle = 56°. Give your answer to 2 decimal places
Answer: 220.52cm²
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4.
Ratio
a:b is 6:5 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 12:10:45
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5.
Statistics
Find the mean, median and range of: 76, 82, 36, 15, 80, 14, 40, 63
Answer: Mean = 50.75, Median = 51.5, Range = 68
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1.
Number
Simplify: 3√63
Answer: 9√7
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2.
Algebra
Complete the square: 5x² - 30x - 9
Answer: 5(x - 3)² - 54
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3.
Geometry
Find area of triangle: a = 20cm, b = 17cm, angle = 53°. Give your answer to 2 decimal places
Answer: 135.77cm²
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4.
Ratio
a:b is 6:5 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 42:35:10
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5.
Statistics
Find the mean, median and range of: 39, 77, 18, 10, 39, 13, 31, 41
Answer: Mean = 33.5, Median = 35, Range = 67
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1.
Number
Simplify: √240
Answer: 4√15
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2.
Algebra
Complete the square: x² - 9x + 4
Answer: (x - 9⁄2)² - 65⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 12cm, angle = 66°. Give your answer to 2 decimal places
Answer: 109.63cm²
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4.
Ratio
a:b is 5:8 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 15:24:56
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5.
Statistics
Find the mean, median and range of: 56, 86, 71, 60, 97, 52, 21, 44, 18. Give your answer to 2 decimal places
Answer: Mean = 56.11, Median = 56, Range = 79