Change pack
Capstone
Aug 13 - 19
25 questions
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1.
Number
Simplify: √896
Answer: 8√14
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2.
Algebra
Complete the square: 5x² - 60x + 12
Answer: 5(x - 6)² - 168
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3.
Geometry
Find area of triangle: a = 15cm, b = 12cm, angle = 52°. Give your answer to 2 decimal places
Answer: 70.92cm²
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4.
Ratio
a:b is 7:5 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 63:45:10
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5.
Statistics
Find the mean, median and range of: 81, 16, 51, 86, 37, 71, 20. Give your answer to 2 decimal places
Answer: Mean = 51.71, Median = 51, Range = 70
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1.
Number
Simplify: √243
Answer: 9√3
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2.
Algebra
Complete the square: x² + 9x + 7
Answer: (x + 9⁄2)² - 53⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 26cm, angle = 50°. Give your answer to 2 decimal places
Answer: 298.76cm²
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4.
Ratio
a:b is 1:5 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 4:20:35
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5.
Statistics
Find the mean, median and range of: 41, 89, 12, 40, 48, 78, 51, 51
Answer: Mean = 51.25, Median = 49.5, Range = 77
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1.
Number
Simplify: √468
Answer: 6√13
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2.
Algebra
Complete the square: 2x² + 12x + 8
Answer: 2(x + 3)² - 10
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3.
Geometry
Find area of triangle: a = 27cm, b = 25cm, angle = 80°. Give your answer to 2 decimal places
Answer: 332.37cm²
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4.
Ratio
a:b is 3:2 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 15:10:8
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5.
Statistics
Find the mean, median and range of: 26, 66, 53, 38, 92, 59, 77, 18, 29. Give your answer to 2 decimal places
Answer: Mean = 50.89, Median = 53, Range = 74
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1.
Number
Simplify: 5√50
Answer: 25√2
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2.
Algebra
Complete the square: x² + 9x + 1
Answer: (x + 9⁄2)² - 77⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 28cm, angle = 71°. Give your answer to 2 decimal places
Answer: 317.69cm²
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4.
Ratio
a:b is 4:5 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 8:10:15
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5.
Statistics
Find the mean, median and range of: 69, 84, 82, 44, 95, 99, 93, 94, 57. Give your answer to 2 decimal places
Answer: Mean = 79.67, Median = 84, Range = 55
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1.
Number
Simplify: √363
Answer: 11√3
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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 = 48°. Give your answer to 2 decimal places
Answer: 323.27cm²
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4.
Ratio
a:b is 9:4 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 27:12:32
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5.
Statistics
Find the mean, median and range of: 68, 82, 35, 98, 67, 42, 58. Give your answer to 2 decimal places
Answer: Mean = 64.29, Median = 67, Range = 63