Change pack
Capstone
Sep 20 - 26
25 questions
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1.
Number
Simplify: 3√275
Answer: 15√11
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2.
Algebra
Complete the square: x² - 3x + 11
Answer: (x - 3⁄2)² + 35⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 26cm, angle = 43°. Give your answer to 2 decimal places
Answer: 150.72cm²
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4.
Ratio
a:b is 4:5 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 8:10:15
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5.
Statistics
Find the mean, median and range of: 41, 17, 18, 91, 88, 77, 67
Answer: Mean = 57, Median = 67, Range = 74
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1.
Number
Simplify: √50
Answer: 5√2
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2.
Algebra
Complete the square: 3x² - 6x - 12
Answer: 3(x - 1)² - 15
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3.
Geometry
Find area of triangle: a = 24cm, b = 12cm, angle = 80°. Give your answer to 2 decimal places
Answer: 141.81cm²
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4.
Ratio
a:b is 5:7 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 15:21:49
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5.
Statistics
Find the mean, median and range of: 81, 48, 15, 52, 56, 91, 40. Give your answer to 2 decimal places
Answer: Mean = 54.71, Median = 52, Range = 76
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1.
Number
Simplify: √686
Answer: 7√14
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2.
Algebra
Complete the square: x² + 11x - 6
Answer: (x + 11⁄2)² - 145⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 24cm, angle = 51°. Give your answer to 2 decimal places
Answer: 139.89cm²
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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: 30, 81, 92, 67, 12, 36, 25
Answer: Mean = 49, Median = 36, Range = 80
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1.
Number
Simplify: √832
Answer: 8√13
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2.
Algebra
Complete the square: 5x² + 60x - 4
Answer: 5(x + 6)² - 184
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3.
Geometry
Find area of triangle: a = 27cm, b = 12cm, angle = 55°. Give your answer to 2 decimal places
Answer: 132.7cm²
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4.
Ratio
a:b is 2:9 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 14:63:81
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5.
Statistics
Find the mean, median and range of: 46, 100, 97, 80, 39, 65, 96, 69
Answer: Mean = 74, Median = 74.5, Range = 61
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1.
Number
Simplify: √216
Answer: 6√6
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2.
Algebra
Complete the square: 5x² - 20x + 7
Answer: 5(x - 2)² - 13
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3.
Geometry
Find area of triangle: a = 13cm, b = 26cm, angle = 57°. Give your answer to 2 decimal places
Answer: 141.74cm²
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4.
Ratio
a:b is 4:5 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 16:20:35
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5.
Statistics
Find the mean, median and range of: 31, 88, 36, 25, 93, 24, 40. Give your answer to 2 decimal places
Answer: Mean = 48.14, Median = 36, Range = 69