Change pack
Capstone
May 1 - 7
25 questions
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1.
Number
Simplify: √343
Answer: 7√7
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2.
Algebra
Complete the square: 2x² + 20x - 6
Answer: 2(x + 5)² - 56
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3.
Geometry
Find area of triangle: a = 18cm, b = 27cm, angle = 40°. Give your answer to 2 decimal places
Answer: 156.2cm²
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4.
Ratio
a:b is 7:9 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 56:72:45
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5.
Statistics
Find the mean, median and range of: 39, 78, 26, 28, 75, 80, 51, 52. Give your answer to 2 decimal places
Answer: Mean = 53.63, Median = 51.5, Range = 54
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1.
Number
Simplify: √612
Answer: 6√17
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2.
Algebra
Complete the square: x² - 9x + 11
Answer: (x - 9⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 17cm, angle = 79°. Give your answer to 2 decimal places
Answer: 158.53cm²
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4.
Ratio
a:b is 3:4 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 9:12:16
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5.
Statistics
Find the mean, median and range of: 22, 91, 38, 72, 92, 34, 12, 91
Answer: Mean = 56.5, Median = 55, Range = 80
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1.
Number
Simplify: √250
Answer: 5√10
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2.
Algebra
Complete the square: 4x² - 24x - 2
Answer: 4(x - 3)² - 38
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3.
Geometry
Find area of triangle: a = 20cm, b = 23cm, angle = 66°. Give your answer to 2 decimal places
Answer: 210.12cm²
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4.
Ratio
a:b is 1:4 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 3:12:10
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5.
Statistics
Find the mean, median and range of: 34, 96, 90, 78, 28, 93, 21, 90
Answer: Mean = 66.25, Median = 84, Range = 75
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1.
Number
Simplify: 5√40
Answer: 10√10
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2.
Algebra
Complete the square: 5x² + 50x - 6
Answer: 5(x + 5)² - 131
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3.
Geometry
Find area of triangle: a = 24cm, b = 20cm, angle = 63°. Give your answer to 2 decimal places
Answer: 213.84cm²
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4.
Ratio
a:b is 2:7 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 12:42:35
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5.
Statistics
Find the mean, median and range of: 61, 90, 42, 28, 55, 26, 39, 21
Answer: Mean = 45.25, Median = 40.5, Range = 69
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1.
Number
Simplify: √224
Answer: 4√14
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2.
Algebra
Complete the square: x² + 5x + 1
Answer: (x + 5⁄2)² - 21⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 16cm, angle = 52°. Give your answer to 2 decimal places
Answer: 157.6cm²
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4.
Ratio
a:b is 1:4 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 5:20:28
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5.
Statistics
Find the mean, median and range of: 57, 11, 87, 27, 48, 93, 35. Give your answer to 2 decimal places
Answer: Mean = 51.14, Median = 48, Range = 82