Change pack
Capstone
Feb 22 - 28
25 questions
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1.
Number
Simplify: √539
Answer: 7√11
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2.
Algebra
Complete the square: 5x² - 60x + 10
Answer: 5(x - 6)² - 170
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3.
Geometry
Find area of triangle: a = 21cm, b = 28cm, angle = 45°. Give your answer to 2 decimal places
Answer: 207.89cm²
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4.
Ratio
a:b is 2:9 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 4:18:81
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5.
Statistics
Find the mean, median and range of: 11, 55, 70, 77, 75, 76, 18, 57, 52. Give your answer to 2 decimal places
Answer: Mean = 54.56, Median = 57, Range = 66
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1.
Number
Simplify: 5√50
Answer: 25√2
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2.
Algebra
Complete the square: x² + 7x + 3
Answer: (x + 7⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 20cm, angle = 80°. Give your answer to 2 decimal places
Answer: 128.03cm²
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4.
Ratio
a:b is 1:3 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 8:24:21
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5.
Statistics
Find the mean, median and range of: 20, 24, 100, 57, 64, 77, 35, 56, 47. Give your answer to 2 decimal places
Answer: Mean = 53.33, Median = 56, Range = 80
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1.
Number
Simplify: 3√80
Answer: 12√5
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2.
Algebra
Complete the square: 3x² - 18x - 4
Answer: 3(x - 3)² - 31
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3.
Geometry
Find area of triangle: a = 30cm, b = 28cm, angle = 40°. Give your answer to 2 decimal places
Answer: 269.97cm²
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4.
Ratio
a:b is 4:3 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 16:12:27
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5.
Statistics
Find the mean, median and range of: 92, 16, 20, 13, 45, 22, 86
Answer: Mean = 42, Median = 22, Range = 79
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: x² - 9x
Answer: (x - 9⁄2)² - 81⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 19cm, angle = 50°. Give your answer to 2 decimal places
Answer: 152.83cm²
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4.
Ratio
a:b is 5:3 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 25:15:24
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5.
Statistics
Find the mean, median and range of: 74, 75, 40, 68, 47, 72, 36, 27. Give your answer to 2 decimal places
Answer: Mean = 54.88, Median = 57.5, Range = 48
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1.
Number
Simplify: √108
Answer: 6√3
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2.
Algebra
Complete the square: x² - x + 8
Answer: (x - 1⁄2)² + 31⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 27cm, angle = 77°. Give your answer to 2 decimal places
Answer: 328.85cm²
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4.
Ratio
a:b is 6:5 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 12:10:15
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5.
Statistics
Find the mean, median and range of: 58, 52, 91, 72, 30, 29, 25
Answer: Mean = 51, Median = 52, Range = 66