Change pack
Capstone
Apr 14 - 20
25 questions
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1.
Number
Simplify: 3√8
Answer: 6√2
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2.
Algebra
Complete the square: x² - 5x - 5
Answer: (x - 5⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 22cm, angle = 56°. Give your answer to 2 decimal places
Answer: 264.46cm²
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4.
Ratio
a:b is 5:4 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 15:12:2
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5.
Statistics
Find the mean, median and range of: 33, 52, 97, 57, 95, 33, 14. Give your answer to 2 decimal places
Answer: Mean = 54.43, Median = 52, Range = 83
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1.
Number
Simplify: √833
Answer: 7√17
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2.
Algebra
Complete the square: x² - 9x - 7
Answer: (x - 9⁄2)² - 109⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 17cm, angle = 42°. Give your answer to 2 decimal places
Answer: 85.31cm²
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4.
Ratio
a:b is 2:5 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 4:10:45
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5.
Statistics
Find the mean, median and range of: 87, 22, 75, 18, 48, 43, 38. Give your answer to 2 decimal places
Answer: Mean = 47.29, Median = 43, Range = 69
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1.
Number
Simplify: √360
Answer: 6√10
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2.
Algebra
Complete the square: 2x² - 24x + 6
Answer: 2(x - 6)² - 66
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3.
Geometry
Find area of triangle: a = 18cm, b = 23cm, angle = 49°. Give your answer to 2 decimal places
Answer: 156.22cm²
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4.
Ratio
a:b is 4:5 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 36:45:25
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5.
Statistics
Find the mean, median and range of: 53, 19, 43, 63, 56, 50, 44. Give your answer to 2 decimal places
Answer: Mean = 46.86, Median = 50, Range = 44
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1.
Number
Simplify: √960
Answer: 8√15
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2.
Algebra
Complete the square: x² - 11x - 10
Answer: (x - 11⁄2)² - 161⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 30cm, angle = 68°. Give your answer to 2 decimal places
Answer: 236.43cm²
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4.
Ratio
a:b is 2:3 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 14:21:6
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5.
Statistics
Find the mean, median and range of: 72, 87, 67, 97, 75, 59, 31. Give your answer to 2 decimal places
Answer: Mean = 69.71, Median = 72, Range = 66
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1.
Number
Simplify: √1000
Answer: 10√10
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2.
Algebra
Complete the square: 2x² - 4x + 10
Answer: 2(x - 1)² + 8
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3.
Geometry
Find area of triangle: a = 15cm, b = 23cm, angle = 73°. Give your answer to 2 decimal places
Answer: 164.96cm²
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4.
Ratio
a:b is 7:4 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 49:28:12
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5.
Statistics
Find the mean, median and range of: 56, 71, 30, 36, 80, 24, 83. Give your answer to 2 decimal places
Answer: Mean = 54.29, Median = 56, Range = 59