Change pack
Capstone
Jan 17 - 23
25 questions
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1.
Number
Simplify: √540
Answer: 6√15
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2.
Algebra
Complete the square: x² - 9x + 10
Answer: (x - 9⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 25cm, angle = 56°. Give your answer to 2 decimal places
Answer: 290.16cm²
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4.
Ratio
a:b is 8:5 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 64:40:45
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5.
Statistics
Find the mean, median and range of: 12, 44, 54, 82, 52, 57, 48, 55, 79. Give your answer to 2 decimal places
Answer: Mean = 53.67, Median = 54, Range = 70
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1.
Number
Simplify: √735
Answer: 7√15
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2.
Algebra
Complete the square: 3x² + 30x - 6
Answer: 3(x + 5)² - 81
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3.
Geometry
Find area of triangle: a = 12cm, b = 27cm, angle = 61°. Give your answer to 2 decimal places
Answer: 141.69cm²
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4.
Ratio
a:b is 3:8 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 21:56:32
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5.
Statistics
Find the mean, median and range of: 83, 53, 89, 56, 10, 44, 43
Answer: Mean = 54, Median = 53, Range = 79
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1.
Number
Simplify: √208
Answer: 4√13
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2.
Algebra
Complete the square: x² + 11x + 9
Answer: (x + 11⁄2)² - 85⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 19cm, angle = 64°. Give your answer to 2 decimal places
Answer: 128.08cm²
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4.
Ratio
a:b is 4:7 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 32:56:49
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5.
Statistics
Find the mean, median and range of: 23, 99, 82, 87, 52, 62, 40, 54, 14
Answer: Mean = 57, Median = 54, Range = 85
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: 5x² - 20x + 4
Answer: 5(x - 2)² - 16
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3.
Geometry
Find area of triangle: a = 13cm, b = 28cm, angle = 64°. Give your answer to 2 decimal places
Answer: 163.58cm²
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4.
Ratio
a:b is 1:4 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 3:12:32
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5.
Statistics
Find the mean, median and range of: 35, 94, 94, 12, 75, 22, 49. Give your answer to 2 decimal places
Answer: Mean = 54.43, Median = 49, Range = 82
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1.
Number
Simplify: √343
Answer: 7√7
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2.
Algebra
Complete the square: 5x² - 60x - 2
Answer: 5(x - 6)² - 182
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3.
Geometry
Find area of triangle: a = 20cm, b = 18cm, angle = 44°. Give your answer to 2 decimal places
Answer: 125.04cm²
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4.
Ratio
a:b is 5:8 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 35:56:48
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5.
Statistics
Find the mean, median and range of: 94, 44, 13, 47, 36, 65, 96, 41, 13. Give your answer to 2 decimal places
Answer: Mean = 49.89, Median = 44, Range = 83