Change pack
Capstone
Jul 15 - 21
25 questions
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: x² - 3x - 5
Answer: (x - 3⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 29cm, angle = 45°. Give your answer to 2 decimal places
Answer: 184.55cm²
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4.
Ratio
a:b is 6:7 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 30:35:42
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5.
Statistics
Find the mean, median and range of: 59, 26, 40, 82, 68, 53, 86, 64, 36. Give your answer to 2 decimal places
Answer: Mean = 57.11, Median = 59, Range = 60
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1.
Number
Simplify: 3√8
Answer: 6√2
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2.
Algebra
Complete the square: 5x² - 10x - 15
Answer: 5(x - 1)² - 20
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3.
Geometry
Find area of triangle: a = 12cm, b = 23cm, angle = 49°. Give your answer to 2 decimal places
Answer: 104.15cm²
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4.
Ratio
a:b is 1:8 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 9:72:64
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5.
Statistics
Find the mean, median and range of: 13, 75, 22, 63, 59, 44, 28. Give your answer to 2 decimal places
Answer: Mean = 43.43, Median = 44, Range = 62
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1.
Number
Simplify: √600
Answer: 10√6
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2.
Algebra
Complete the square: x² - x + 1
Answer: (x - 1⁄2)² + 3⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 25cm, angle = 71°. Give your answer to 2 decimal places
Answer: 319.11cm²
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4.
Ratio
a:b is 1:9 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 5:45:63
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5.
Statistics
Find the mean, median and range of: 75, 98, 22, 34, 82, 81, 46, 35. Give your answer to 2 decimal places
Answer: Mean = 59.13, Median = 60.5, Range = 76
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1.
Number
Simplify: √468
Answer: 6√13
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2.
Algebra
Complete the square: 2x² - 4x - 15
Answer: 2(x - 1)² - 17
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3.
Geometry
Find area of triangle: a = 12cm, b = 12cm, angle = 54°. Give your answer to 2 decimal places
Answer: 58.25cm²
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4.
Ratio
a:b is 2:5 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 4:10:15
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5.
Statistics
Find the mean, median and range of: 31, 40, 96, 91, 91, 66, 96, 18, 94. Give your answer to 2 decimal places
Answer: Mean = 69.22, Median = 91, Range = 78
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1.
Number
Simplify: √810
Answer: 9√10
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2.
Algebra
Complete the square: 2x² + 12x - 1
Answer: 2(x + 3)² - 19
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3.
Geometry
Find area of triangle: a = 19cm, b = 12cm, angle = 74°. Give your answer to 2 decimal places
Answer: 109.58cm²
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4.
Ratio
a:b is 3:2 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 15:10:12
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5.
Statistics
Find the mean, median and range of: 37, 30, 10, 51, 49, 41, 44, 52
Answer: Mean = 39.25, Median = 42.5, Range = 42