Change pack
Capstone
Dec 20 - 26
25 questions
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1.
Number
Simplify: √384
Answer: 8√6
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2.
Algebra
Complete the square: 2x² - 8x + 5
Answer: 2(x - 2)² - 3
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3.
Geometry
Find area of triangle: a = 24cm, b = 28cm, angle = 45°. Give your answer to 2 decimal places
Answer: 237.59cm²
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4.
Ratio
a:b is 2:5 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 14:35:45
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5.
Statistics
Find the mean, median and range of: 84, 48, 94, 55, 90, 29, 29, 98, 48. Give your answer to 2 decimal places
Answer: Mean = 63.89, Median = 55, Range = 69
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1.
Number
Simplify: √360
Answer: 6√10
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2.
Algebra
Complete the square: 3x² + 12x + 2
Answer: 3(x + 2)² - 10
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3.
Geometry
Find area of triangle: a = 27cm, b = 19cm, angle = 47°. Give your answer to 2 decimal places
Answer: 187.59cm²
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4.
Ratio
a:b is 3:5 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 27:45:25
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5.
Statistics
Find the mean, median and range of: 28, 42, 100, 77, 42, 42, 66, 72, 35
Answer: Mean = 56, Median = 42, Range = 72
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1.
Number
Simplify: 3√125
Answer: 15√5
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2.
Algebra
Complete the square: x² + 7x - 9
Answer: (x + 7⁄2)² - 85⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 27cm, angle = 72°. Give your answer to 2 decimal places
Answer: 385.18cm²
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4.
Ratio
a:b is 9:8 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 63:56:64
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5.
Statistics
Find the mean, median and range of: 56, 24, 79, 42, 54, 90, 76, 59
Answer: Mean = 60, Median = 57.5, Range = 66
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1.
Number
Simplify: √640
Answer: 8√10
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2.
Algebra
Complete the square: 3x² - 18x - 14
Answer: 3(x - 3)² - 41
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3.
Geometry
Find area of triangle: a = 19cm, b = 17cm, angle = 63°. Give your answer to 2 decimal places
Answer: 143.9cm²
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4.
Ratio
a:b is 4:5 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 12:15:20
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5.
Statistics
Find the mean, median and range of: 94, 86, 77, 10, 88, 85, 34, 87, 16. Give your answer to 2 decimal places
Answer: Mean = 64.11, Median = 85, Range = 84
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1.
Number
Simplify: 4√150
Answer: 20√6
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2.
Algebra
Complete the square: x² + 9x + 9
Answer: (x + 9⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 18cm, angle = 61°. Give your answer to 2 decimal places
Answer: 94.46cm²
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4.
Ratio
a:b is 4:9 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 28:63:54
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5.
Statistics
Find the mean, median and range of: 37, 48, 76, 63, 69, 60, 36, 17
Answer: Mean = 50.75, Median = 54, Range = 59