Change pack
Capstone
Oct 30 - Nov 5
25 questions
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1.
Number
Simplify: 3√8
Answer: 6√2
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2.
Algebra
Complete the square: 3x² - 6x + 14
Answer: 3(x - 1)² + 11
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3.
Geometry
Find area of triangle: a = 28cm, b = 21cm, angle = 41°. Give your answer to 2 decimal places
Answer: 192.88cm²
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4.
Ratio
a:b is 4:9 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 28:63:27
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5.
Statistics
Find the mean, median and range of: 49, 32, 12, 73, 82, 71, 14. Give your answer to 2 decimal places
Answer: Mean = 47.57, Median = 49, Range = 70
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1.
Number
Simplify: √931
Answer: 7√19
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2.
Algebra
Complete the square: 2x² + 4x + 5
Answer: 2(x + 1)² + 3
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3.
Geometry
Find area of triangle: a = 17cm, b = 14cm, angle = 80°. Give your answer to 2 decimal places
Answer: 117.19cm²
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4.
Ratio
a:b is 4:7 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 8:14:49
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5.
Statistics
Find the mean, median and range of: 44, 51, 29, 24, 83, 57, 54. Give your answer to 2 decimal places
Answer: Mean = 48.86, Median = 51, Range = 59
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1.
Number
Simplify: 5√48
Answer: 20√3
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2.
Algebra
Complete the square: x² + 7x + 7
Answer: (x + 7⁄2)² - 21⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 29cm, angle = 55°. Give your answer to 2 decimal places
Answer: 356.33cm²
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4.
Ratio
a:b is 4:3 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 28:21:18
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5.
Statistics
Find the mean, median and range of: 68, 98, 43, 90, 58, 62, 87, 93. Give your answer to 2 decimal places
Answer: Mean = 74.88, Median = 77.5, Range = 55
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1.
Number
Simplify: 4√99
Answer: 12√11
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2.
Algebra
Complete the square: x² + 3x - 12
Answer: (x + 3⁄2)² - 57⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 22cm, angle = 58°. Give your answer to 2 decimal places
Answer: 279.86cm²
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4.
Ratio
a:b is 5:3 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 40:24:21
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5.
Statistics
Find the mean, median and range of: 17, 72, 73, 99, 14, 24, 44, 15, 57. Give your answer to 2 decimal places
Answer: Mean = 46.11, Median = 44, Range = 85
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1.
Number
Simplify: √180
Answer: 6√5
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2.
Algebra
Complete the square: x² - 7x + 11
Answer: (x - 7⁄2)² - 5⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 12cm, angle = 70°. Give your answer to 2 decimal places
Answer: 90.21cm²
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4.
Ratio
a:b is 3:5 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 27:45:25
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5.
Statistics
Find the mean, median and range of: 67, 64, 14, 100, 99, 59, 26, 40, 36. Give your answer to 2 decimal places
Answer: Mean = 56.11, Median = 59, Range = 86