Change pack
Capstone
Dec 12 - 18
25 questions
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1.
Number
Simplify: √525
Answer: 5√21
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2.
Algebra
Complete the square: x² + 7x - 6
Answer: (x + 7⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 13cm, angle = 73°. Give your answer to 2 decimal places
Answer: 136.75cm²
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4.
Ratio
a:b is 2:7 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 16:56:63
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5.
Statistics
Find the mean, median and range of: 86, 62, 77, 88, 34, 59, 31. Give your answer to 2 decimal places
Answer: Mean = 62.43, Median = 62, Range = 57
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1.
Number
Simplify: √352
Answer: 4√22
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2.
Algebra
Complete the square: x² + 3x - 1
Answer: (x + 3⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 24cm, angle = 76°. Give your answer to 2 decimal places
Answer: 337.66cm²
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4.
Ratio
a:b is 4:5 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 12:15:20
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5.
Statistics
Find the mean, median and range of: 64, 22, 40, 11, 75, 95, 35. Give your answer to 2 decimal places
Answer: Mean = 48.86, Median = 40, Range = 84
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1.
Number
Simplify: √612
Answer: 6√17
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2.
Algebra
Complete the square: 3x² - 36x + 2
Answer: 3(x - 6)² - 106
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3.
Geometry
Find area of triangle: a = 26cm, b = 27cm, angle = 66°. Give your answer to 2 decimal places
Answer: 320.65cm²
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4.
Ratio
a:b is 7:6 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 21:18:4
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5.
Statistics
Find the mean, median and range of: 98, 84, 64, 13, 87, 33, 100, 40, 80. Give your answer to 2 decimal places
Answer: Mean = 66.56, Median = 80, Range = 87
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1.
Number
Simplify: 3√96
Answer: 12√6
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2.
Algebra
Complete the square: 4x² - 24x
Answer: 4(x - 3)² - 36
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3.
Geometry
Find area of triangle: a = 27cm, b = 16cm, angle = 71°. Give your answer to 2 decimal places
Answer: 204.23cm²
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4.
Ratio
a:b is 4:7 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 12:21:35
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5.
Statistics
Find the mean, median and range of: 96, 24, 73, 28, 43, 51, 57, 67, 91. Give your answer to 2 decimal places
Answer: Mean = 58.89, Median = 57, Range = 72
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1.
Number
Simplify: √726
Answer: 11√6
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2.
Algebra
Complete the square: 2x² + 16x + 7
Answer: 2(x + 4)² - 25
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3.
Geometry
Find area of triangle: a = 15cm, b = 20cm, angle = 54°. Give your answer to 2 decimal places
Answer: 121.35cm²
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4.
Ratio
a:b is 1:2 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 7:14:10
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5.
Statistics
Find the mean, median and range of: 96, 36, 39, 84, 13, 80, 50. Give your answer to 2 decimal places
Answer: Mean = 56.86, Median = 50, Range = 83