Change pack
Capstone
Aug 18 - 24
25 questions
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1.
Number
Simplify: √384
Answer: 8√6
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2.
Algebra
Complete the square: x² + x + 5
Answer: (x + 1⁄2)² + 19⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 25cm, angle = 49°. Give your answer to 2 decimal places
Answer: 207.55cm²
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4.
Ratio
a:b is 8:7 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 72:63:56
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5.
Statistics
Find the mean, median and range of: 71, 63, 13, 27, 13, 15, 69, 25, 98. Give your answer to 2 decimal places
Answer: Mean = 43.78, Median = 27, Range = 85
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1.
Number
Simplify: √756
Answer: 6√21
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2.
Algebra
Complete the square: 5x² + 40x - 9
Answer: 5(x + 4)² - 89
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3.
Geometry
Find area of triangle: a = 24cm, b = 20cm, angle = 74°. Give your answer to 2 decimal places
Answer: 230.7cm²
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4.
Ratio
a:b is 8:5 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 72:45:25
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5.
Statistics
Find the mean, median and range of: 100, 93, 81, 90, 47, 18, 100. Give your answer to 2 decimal places
Answer: Mean = 75.57, Median = 90, Range = 82
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1.
Number
Simplify: 2√12
Answer: 4√3
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2.
Algebra
Complete the square: 3x² + 6x - 2
Answer: 3(x + 1)² - 5
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3.
Geometry
Find area of triangle: a = 16cm, b = 13cm, angle = 67°. Give your answer to 2 decimal places
Answer: 95.73cm²
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4.
Ratio
a:b is 3:2 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 21:14:16
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5.
Statistics
Find the mean, median and range of: 18, 42, 99, 34, 45, 21, 32, 64. Give your answer to 2 decimal places
Answer: Mean = 44.38, Median = 38, Range = 81
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1.
Number
Simplify: √250
Answer: 5√10
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2.
Algebra
Complete the square: x² - 11x - 7
Answer: (x - 11⁄2)² - 149⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 25cm, angle = 40°. Give your answer to 2 decimal places
Answer: 120.52cm²
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4.
Ratio
a:b is 1:7 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 9:63:49
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5.
Statistics
Find the mean, median and range of: 49, 95, 48, 44, 24, 60, 20, 53, 35. Give your answer to 2 decimal places
Answer: Mean = 47.56, Median = 48, Range = 75
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1.
Number
Simplify: √468
Answer: 6√13
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2.
Algebra
Complete the square: 3x² + 30x + 13
Answer: 3(x + 5)² - 62
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3.
Geometry
Find area of triangle: a = 21cm, b = 16cm, angle = 62°. Give your answer to 2 decimal places
Answer: 148.34cm²
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4.
Ratio
a:b is 4:9 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 28:63:81
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5.
Statistics
Find the mean, median and range of: 93, 95, 97, 65, 72, 32, 16. Give your answer to 2 decimal places
Answer: Mean = 67.14, Median = 72, Range = 81