Change pack
Capstone
Oct 11 - 17
25 questions
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1.
Number
Simplify: 4√90
Answer: 12√10
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2.
Algebra
Complete the square: x² - 11x + 8
Answer: (x - 11⁄2)² - 89⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 27cm, angle = 49°. Give your answer to 2 decimal places
Answer: 234.34cm²
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4.
Ratio
a:b is 9:7 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 18:14:63
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5.
Statistics
Find the mean, median and range of: 17, 41, 79, 42, 19, 76, 82, 62, 82. Give your answer to 2 decimal places
Answer: Mean = 55.56, Median = 62, Range = 65
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1.
Number
Simplify: 2√176
Answer: 8√11
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2.
Algebra
Complete the square: 5x² + 20x - 9
Answer: 5(x + 2)² - 29
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3.
Geometry
Find area of triangle: a = 26cm, b = 15cm, angle = 50°. Give your answer to 2 decimal places
Answer: 149.38cm²
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4.
Ratio
a:b is 4:7 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 16:28:21
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5.
Statistics
Find the mean, median and range of: 21, 49, 43, 40, 30, 68, 34, 73
Answer: Mean = 44.75, Median = 41.5, Range = 52
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1.
Number
Simplify: √98
Answer: 7√2
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2.
Algebra
Complete the square: x² + 3x + 10
Answer: (x + 3⁄2)² + 31⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 27cm, angle = 61°. Give your answer to 2 decimal places
Answer: 236.15cm²
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4.
Ratio
a:b is 7:9 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 35:45:9
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5.
Statistics
Find the mean, median and range of: 94, 55, 76, 67, 91, 40, 87, 40
Answer: Mean = 68.75, Median = 71.5, Range = 54
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1.
Number
Simplify: √275
Answer: 5√11
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2.
Algebra
Complete the square: 5x² - 10x - 1
Answer: 5(x - 1)² - 6
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3.
Geometry
Find area of triangle: a = 30cm, b = 24cm, angle = 64°. Give your answer to 2 decimal places
Answer: 323.57cm²
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4.
Ratio
a:b is 7:2 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 35:10:4
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5.
Statistics
Find the mean, median and range of: 61, 46, 85, 82, 90, 61, 45, 45. Give your answer to 2 decimal places
Answer: Mean = 64.38, Median = 61, Range = 45
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1.
Number
Simplify: 3√125
Answer: 15√5
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2.
Algebra
Complete the square: 2x² - 8x + 2
Answer: 2(x - 2)² - 6
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3.
Geometry
Find area of triangle: a = 26cm, b = 14cm, angle = 44°. Give your answer to 2 decimal places
Answer: 126.43cm²
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4.
Ratio
a:b is 1:4 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 5:20:32
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5.
Statistics
Find the mean, median and range of: 41, 60, 30, 83, 55, 76, 31, 58, 62. Give your answer to 2 decimal places
Answer: Mean = 55.11, Median = 58, Range = 53