Change pack
Capstone
Nov 22 - 28
25 questions
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1.
Number
Simplify: 2√12
Answer: 4√3
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2.
Algebra
Complete the square: 5x² + 20x + 8
Answer: 5(x + 2)² - 12
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3.
Geometry
Find area of triangle: a = 14cm, b = 16cm, angle = 78°. Give your answer to 2 decimal places
Answer: 109.55cm²
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4.
Ratio
a:b is 7:2 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 63:18:8
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5.
Statistics
Find the mean, median and range of: 97, 76, 79, 27, 77, 65, 63. Give your answer to 2 decimal places
Answer: Mean = 69.14, Median = 76, Range = 70
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1.
Number
Simplify: 4√99
Answer: 12√11
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2.
Algebra
Complete the square: x² - 7x - 3
Answer: (x - 7⁄2)² - 61⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 14cm, angle = 76°. Give your answer to 2 decimal places
Answer: 88.3cm²
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4.
Ratio
a:b is 5:7 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 15:21:7
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5.
Statistics
Find the mean, median and range of: 65, 94, 27, 62, 52, 81, 55. Give your answer to 2 decimal places
Answer: Mean = 62.29, Median = 62, Range = 67
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1.
Number
Simplify: √275
Answer: 5√11
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2.
Algebra
Complete the square: 4x² + 48x + 14
Answer: 4(x + 6)² - 130
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3.
Geometry
Find area of triangle: a = 23cm, b = 25cm, angle = 73°. Give your answer to 2 decimal places
Answer: 274.94cm²
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4.
Ratio
a:b is 5:6 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 20:24:21
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5.
Statistics
Find the mean, median and range of: 62, 64, 94, 88, 49, 33, 50, 93, 10. Give your answer to 2 decimal places
Answer: Mean = 60.33, Median = 62, Range = 84
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1.
Number
Simplify: √504
Answer: 6√14
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2.
Algebra
Complete the square: 2x² + 20x - 2
Answer: 2(x + 5)² - 52
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3.
Geometry
Find area of triangle: a = 12cm, b = 18cm, angle = 49°. Give your answer to 2 decimal places
Answer: 81.51cm²
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4.
Ratio
a:b is 1:7 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 5:35:7
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5.
Statistics
Find the mean, median and range of: 54, 97, 35, 45, 68, 72, 97, 18, 37. Give your answer to 2 decimal places
Answer: Mean = 58.11, Median = 54, Range = 79
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1.
Number
Simplify: √684
Answer: 6√19
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2.
Algebra
Complete the square: 3x² - 12x + 9
Answer: 3(x - 2)² - 3
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3.
Geometry
Find area of triangle: a = 30cm, b = 29cm, angle = 71°. Give your answer to 2 decimal places
Answer: 411.3cm²
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4.
Ratio
a:b is 6:7 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 54:63:35
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5.
Statistics
Find the mean, median and range of: 90, 80, 11, 27, 66, 35, 90, 58. Give your answer to 2 decimal places
Answer: Mean = 57.13, Median = 62, Range = 79