Change pack
Capstone
Jun 30 - Jul 6
25 questions
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1.
Number
Simplify: 3√250
Answer: 15√10
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2.
Algebra
Complete the square: 2x² - 16x + 4
Answer: 2(x - 4)² - 28
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3.
Geometry
Find area of triangle: a = 27cm, b = 21cm, angle = 43°. Give your answer to 2 decimal places
Answer: 193.35cm²
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4.
Ratio
a:b is 3:5 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 9:15:20
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5.
Statistics
Find the mean, median and range of: 90, 99, 55, 81, 80, 31, 63, 38. Give your answer to 2 decimal places
Answer: Mean = 67.13, Median = 71.5, Range = 68
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1.
Number
Simplify: √891
Answer: 9√11
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2.
Algebra
Complete the square: 5x² - 20x - 13
Answer: 5(x - 2)² - 33
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3.
Geometry
Find area of triangle: a = 26cm, b = 23cm, angle = 41°. Give your answer to 2 decimal places
Answer: 196.16cm²
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4.
Ratio
a:b is 6:7 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 18:21:49
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5.
Statistics
Find the mean, median and range of: 42, 40, 39, 75, 21, 71, 100. Give your answer to 2 decimal places
Answer: Mean = 55.43, Median = 42, Range = 79
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: x² - 11x - 1
Answer: (x - 11⁄2)² - 125⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 24cm, angle = 52°. Give your answer to 2 decimal places
Answer: 141.84cm²
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4.
Ratio
a:b is 1:5 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 8:40:25
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5.
Statistics
Find the mean, median and range of: 59, 82, 77, 15, 99, 11, 57, 11. Give your answer to 2 decimal places
Answer: Mean = 51.38, Median = 58, Range = 88
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1.
Number
Simplify: √1000
Answer: 10√10
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2.
Algebra
Complete the square: 4x² - 48x + 10
Answer: 4(x - 6)² - 134
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3.
Geometry
Find area of triangle: a = 27cm, b = 23cm, angle = 72°. Give your answer to 2 decimal places
Answer: 295.3cm²
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4.
Ratio
a:b is 7:4 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 63:36:28
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5.
Statistics
Find the mean, median and range of: 39, 56, 49, 51, 98, 45, 22, 100, 41. Give your answer to 2 decimal places
Answer: Mean = 55.67, Median = 49, Range = 78
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1.
Number
Simplify: √504
Answer: 6√14
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2.
Algebra
Complete the square: 5x² + 40x + 10
Answer: 5(x + 4)² - 70
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3.
Geometry
Find area of triangle: a = 17cm, b = 29cm, angle = 49°. Give your answer to 2 decimal places
Answer: 186.04cm²
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4.
Ratio
a:b is 9:4 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 81:36:8
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5.
Statistics
Find the mean, median and range of: 19, 100, 22, 43, 53, 15, 41. Give your answer to 2 decimal places
Answer: Mean = 41.86, Median = 41, Range = 85