Change pack
Capstone
Nov 1 - 7
25 questions
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1.
Number
Simplify: √252
Answer: 6√7
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2.
Algebra
Complete the square: 5x² - 10x - 10
Answer: 5(x - 1)² - 15
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3.
Geometry
Find area of triangle: a = 21cm, b = 26cm, angle = 77°. Give your answer to 2 decimal places
Answer: 266cm²
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4.
Ratio
a:b is 7:4 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 35:20:28
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5.
Statistics
Find the mean, median and range of: 83, 99, 87, 54, 81, 43, 35, 100
Answer: Mean = 72.75, Median = 82, Range = 65
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1.
Number
Simplify: 4√125
Answer: 20√5
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2.
Algebra
Complete the square: 2x² - 20x + 12
Answer: 2(x - 5)² - 38
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3.
Geometry
Find area of triangle: a = 20cm, b = 23cm, angle = 75°. Give your answer to 2 decimal places
Answer: 222.16cm²
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4.
Ratio
a:b is 6:5 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 42:35:40
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5.
Statistics
Find the mean, median and range of: 95, 29, 26, 92, 19, 59, 71, 100, 56. Give your answer to 2 decimal places
Answer: Mean = 60.78, Median = 59, Range = 81
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1.
Number
Simplify: √200
Answer: 10√2
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2.
Algebra
Complete the square: x² - 11x + 11
Answer: (x - 11⁄2)² - 77⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 27cm, angle = 42°. Give your answer to 2 decimal places
Answer: 171.63cm²
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4.
Ratio
a:b is 8:7 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 64:56:35
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5.
Statistics
Find the mean, median and range of: 40, 25, 54, 39, 76, 12, 72, 31, 75. Give your answer to 2 decimal places
Answer: Mean = 47.11, Median = 40, Range = 64
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: x² - 3x + 2
Answer: (x - 3⁄2)² - 1⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 18cm, angle = 43°. Give your answer to 2 decimal places
Answer: 122.76cm²
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4.
Ratio
a:b is 1:6 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 5:30:12
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5.
Statistics
Find the mean, median and range of: 64, 92, 65, 51, 76, 29, 49, 96
Answer: Mean = 65.25, Median = 64.5, Range = 67
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1.
Number
Simplify: √686
Answer: 7√14
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2.
Algebra
Complete the square: x² - 9x - 12
Answer: (x - 9⁄2)² - 129⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 12cm, angle = 76°. Give your answer to 2 decimal places
Answer: 168.83cm²
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4.
Ratio
a:b is 9:7 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 45:35:42
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5.
Statistics
Find the mean, median and range of: 36, 100, 23, 76, 82, 48, 68. Give your answer to 2 decimal places
Answer: Mean = 61.86, Median = 68, Range = 77