Change pack
Capstone
Aug 12 - 18
25 questions
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1.
Number
Simplify: 5√12
Answer: 10√3
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2.
Algebra
Complete the square: 5x² + 50x + 6
Answer: 5(x + 5)² - 119
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3.
Geometry
Find area of triangle: a = 26cm, b = 24cm, angle = 59°. Give your answer to 2 decimal places
Answer: 267.44cm²
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4.
Ratio
a:b is 7:4 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 49:28:24
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5.
Statistics
Find the mean, median and range of: 92, 56, 49, 92, 73, 75, 38, 45, 92
Answer: Mean = 68, Median = 73, Range = 54
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1.
Number
Simplify: 4√176
Answer: 16√11
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2.
Algebra
Complete the square: x² - x + 7
Answer: (x - 1⁄2)² + 27⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 17cm, angle = 52°. Give your answer to 2 decimal places
Answer: 93.77cm²
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4.
Ratio
a:b is 7:3 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 49:21:27
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5.
Statistics
Find the mean, median and range of: 60, 90, 15, 89, 65, 36, 93, 33. Give your answer to 2 decimal places
Answer: Mean = 60.13, Median = 62.5, Range = 78
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1.
Number
Simplify: √300
Answer: 10√3
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2.
Algebra
Complete the square: 2x² + 8x - 4
Answer: 2(x + 2)² - 12
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3.
Geometry
Find area of triangle: a = 30cm, b = 20cm, angle = 44°. Give your answer to 2 decimal places
Answer: 208.4cm²
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4.
Ratio
a:b is 8:5 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 56:35:30
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5.
Statistics
Find the mean, median and range of: 13, 17, 72, 81, 63, 60, 88, 33, 10. Give your answer to 2 decimal places
Answer: Mean = 48.56, Median = 60, Range = 78
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1.
Number
Simplify: 5√160
Answer: 20√10
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2.
Algebra
Complete the square: 5x² - 60x + 6
Answer: 5(x - 6)² - 174
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3.
Geometry
Find area of triangle: a = 28cm, b = 16cm, angle = 75°. Give your answer to 2 decimal places
Answer: 216.37cm²
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4.
Ratio
a:b is 5:8 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 15:24:4
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5.
Statistics
Find the mean, median and range of: 21, 43, 99, 73, 78, 32, 30, 34, 25. Give your answer to 2 decimal places
Answer: Mean = 48.33, Median = 34, Range = 78
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: 5x² - 60x - 4
Answer: 5(x - 6)² - 184
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3.
Geometry
Find area of triangle: a = 23cm, b = 12cm, angle = 59°. Give your answer to 2 decimal places
Answer: 118.29cm²
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4.
Ratio
a:b is 2:7 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 4:14:21
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5.
Statistics
Find the mean, median and range of: 20, 60, 46, 44, 44, 83, 24. Give your answer to 2 decimal places
Answer: Mean = 45.86, Median = 44, Range = 63