Change pack
Capstone
Feb 27 - Mar 5
25 questions
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1.
Number
Simplify: 3√40
Answer: 6√10
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2.
Algebra
Complete the square: x² - 3x + 5
Answer: (x - 3⁄2)² + 11⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 20cm, angle = 67°. Give your answer to 2 decimal places
Answer: 239.33cm²
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4.
Ratio
a:b is 2:3 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 4:6:21
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5.
Statistics
Find the mean, median and range of: 19, 37, 62, 51, 29, 63, 47, 98
Answer: Mean = 50.75, Median = 49, Range = 79
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1.
Number
Simplify: √48
Answer: 4√3
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2.
Algebra
Complete the square: 3x² - 24x + 6
Answer: 3(x - 4)² - 42
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3.
Geometry
Find area of triangle: a = 29cm, b = 25cm, angle = 72°. Give your answer to 2 decimal places
Answer: 344.76cm²
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4.
Ratio
a:b is 3:7 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 15:35:14
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5.
Statistics
Find the mean, median and range of: 84, 96, 63, 88, 68, 79, 99, 68. Give your answer to 2 decimal places
Answer: Mean = 80.63, Median = 81.5, Range = 36
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1.
Number
Simplify: 4√50
Answer: 20√2
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2.
Algebra
Complete the square: 5x² + 30x - 12
Answer: 5(x + 3)² - 57
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3.
Geometry
Find area of triangle: a = 29cm, b = 29cm, angle = 47°. Give your answer to 2 decimal places
Answer: 307.53cm²
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4.
Ratio
a:b is 7:2 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 21:6:4
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5.
Statistics
Find the mean, median and range of: 17, 83, 85, 61, 89, 49, 41. Give your answer to 2 decimal places
Answer: Mean = 60.71, Median = 61, Range = 72
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1.
Number
Simplify: 5√112
Answer: 20√7
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2.
Algebra
Complete the square: x² + x + 2
Answer: (x + 1⁄2)² + 7⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 20cm, angle = 78°. Give your answer to 2 decimal places
Answer: 117.38cm²
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4.
Ratio
a:b is 4:9 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 32:72:45
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5.
Statistics
Find the mean, median and range of: 34, 10, 99, 53, 69, 63, 83. Give your answer to 2 decimal places
Answer: Mean = 58.71, Median = 63, Range = 89
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: x² - 5x - 3
Answer: (x - 5⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 18cm, angle = 53°. Give your answer to 2 decimal places
Answer: 215.63cm²
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4.
Ratio
a:b is 5:4 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 35:28:20
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5.
Statistics
Find the mean, median and range of: 76, 30, 37, 36, 62, 13, 99, 76, 18. Give your answer to 2 decimal places
Answer: Mean = 49.67, Median = 37, Range = 86