Change pack
Capstone
Jun 17 - 23
25 questions
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: x² - 5x - 5
Answer: (x - 5⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 24cm, angle = 55°. Give your answer to 2 decimal places
Answer: 226.09cm²
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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: 29, 60, 45, 19, 56, 63, 46, 55, 74. Give your answer to 2 decimal places
Answer: Mean = 49.67, Median = 55, Range = 55
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1.
Number
Simplify: √891
Answer: 9√11
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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 = 23cm, b = 13cm, angle = 59°. Give your answer to 2 decimal places
Answer: 128.15cm²
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4.
Ratio
a:b is 3:7 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 18:42:35
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5.
Statistics
Find the mean, median and range of: 24, 92, 93, 68, 33, 28, 44, 91. Give your answer to 2 decimal places
Answer: Mean = 59.13, Median = 56, Range = 69
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1.
Number
Simplify: √756
Answer: 6√21
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2.
Algebra
Complete the square: 2x² - 12x + 4
Answer: 2(x - 3)² - 14
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3.
Geometry
Find area of triangle: a = 24cm, b = 18cm, angle = 68°. Give your answer to 2 decimal places
Answer: 200.27cm²
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4.
Ratio
a:b is 1:3 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 7:21:12
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5.
Statistics
Find the mean, median and range of: 98, 43, 57, 33, 38, 32, 65, 48
Answer: Mean = 51.75, Median = 45.5, Range = 66
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1.
Number
Simplify: √350
Answer: 5√14
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2.
Algebra
Complete the square: 5x² - 50x - 3
Answer: 5(x - 5)² - 128
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3.
Geometry
Find area of triangle: a = 12cm, b = 24cm, angle = 68°. Give your answer to 2 decimal places
Answer: 133.51cm²
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4.
Ratio
a:b is 7:4 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 35:20:28
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5.
Statistics
Find the mean, median and range of: 24, 69, 82, 98, 79, 71, 16, 40, 95. Give your answer to 2 decimal places
Answer: Mean = 63.78, Median = 71, Range = 82
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1.
Number
Simplify: √242
Answer: 11√2
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2.
Algebra
Complete the square: x² - 7x + 2
Answer: (x - 7⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 15cm, angle = 40°. Give your answer to 2 decimal places
Answer: 130.16cm²
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4.
Ratio
a:b is 6:7 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 54:63:28
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5.
Statistics
Find the mean, median and range of: 29, 61, 66, 81, 56, 20, 48. Give your answer to 2 decimal places
Answer: Mean = 51.57, Median = 56, Range = 61