Change pack
Capstone
Jan 9 - 15
25 questions
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1.
Number
Simplify: √726
Answer: 11√6
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2.
Algebra
Complete the square: x² - x - 10
Answer: (x - 1⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 27cm, angle = 63°. Give your answer to 2 decimal places
Answer: 252.6cm²
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4.
Ratio
a:b is 9:4 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 63:28:12
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5.
Statistics
Find the mean, median and range of: 13, 97, 98, 43, 24, 52, 12. Give your answer to 2 decimal places
Answer: Mean = 48.43, Median = 43, Range = 86
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1.
Number
Simplify: √128
Answer: 8√2
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2.
Algebra
Complete the square: x² + 5x + 4
Answer: (x + 5⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 13cm, angle = 43°. Give your answer to 2 decimal places
Answer: 62.06cm²
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4.
Ratio
a:b is 1:9 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 5:45:72
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5.
Statistics
Find the mean, median and range of: 57, 67, 17, 91, 25, 25, 93, 77, 52
Answer: Mean = 56, Median = 57, Range = 76
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: x² - x + 10
Answer: (x - 1⁄2)² + 39⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 18cm, angle = 48°. Give your answer to 2 decimal places
Answer: 147.14cm²
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4.
Ratio
a:b is 9:8 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 45:40:8
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5.
Statistics
Find the mean, median and range of: 30, 85, 67, 34, 56, 98, 92, 46
Answer: Mean = 63.5, Median = 61.5, Range = 68
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1.
Number
Simplify: √150
Answer: 5√6
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2.
Algebra
Complete the square: 2x² - 24x - 3
Answer: 2(x - 6)² - 75
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3.
Geometry
Find area of triangle: a = 29cm, b = 17cm, angle = 59°. Give your answer to 2 decimal places
Answer: 211.29cm²
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4.
Ratio
a:b is 2:7 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 8:28:49
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5.
Statistics
Find the mean, median and range of: 58, 11, 20, 17, 93, 31, 10, 66, 33. Give your answer to 2 decimal places
Answer: Mean = 37.67, Median = 31, Range = 83
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1.
Number
Simplify: √72
Answer: 6√2
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2.
Algebra
Complete the square: 2x² - 20x + 14
Answer: 2(x - 5)² - 36
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3.
Geometry
Find area of triangle: a = 20cm, b = 26cm, angle = 60°. Give your answer to 2 decimal places
Answer: 225.17cm²
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4.
Ratio
a:b is 8:7 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 16:14:35
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5.
Statistics
Find the mean, median and range of: 33, 29, 24, 74, 90, 23, 73, 99. Give your answer to 2 decimal places
Answer: Mean = 55.63, Median = 53, Range = 76