Change pack
Capstone
Apr 30 - May 6
25 questions
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1.
Number
Simplify: √600
Answer: 10√6
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2.
Algebra
Complete the square: x² - 9x + 8
Answer: (x - 9⁄2)² - 49⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 22cm, angle = 68°. Give your answer to 2 decimal places
Answer: 173.38cm²
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4.
Ratio
a:b is 6:5 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 42:35:45
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5.
Statistics
Find the mean, median and range of: 37, 65, 74, 92, 60, 15, 84
Answer: Mean = 61, Median = 65, Range = 77
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1.
Number
Simplify: √75
Answer: 5√3
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2.
Algebra
Complete the square: x² - 7x - 11
Answer: (x - 7⁄2)² - 93⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 14cm, angle = 46°. Give your answer to 2 decimal places
Answer: 75.53cm²
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4.
Ratio
a:b is 1:7 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 9:63:35
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5.
Statistics
Find the mean, median and range of: 85, 13, 95, 43, 62, 45, 48. Give your answer to 2 decimal places
Answer: Mean = 55.86, Median = 48, Range = 82
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1.
Number
Simplify: √350
Answer: 5√14
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2.
Algebra
Complete the square: 5x² - 60x + 13
Answer: 5(x - 6)² - 167
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3.
Geometry
Find area of triangle: a = 18cm, b = 24cm, angle = 52°. Give your answer to 2 decimal places
Answer: 170.21cm²
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4.
Ratio
a:b is 7:6 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 49:42:6
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5.
Statistics
Find the mean, median and range of: 11, 84, 71, 14, 67, 19, 62, 93, 49. Give your answer to 2 decimal places
Answer: Mean = 52.22, Median = 62, Range = 82
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1.
Number
Simplify: √704
Answer: 8√11
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2.
Algebra
Complete the square: 5x² + 50x - 10
Answer: 5(x + 5)² - 135
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3.
Geometry
Find area of triangle: a = 14cm, b = 15cm, angle = 69°. Give your answer to 2 decimal places
Answer: 98.03cm²
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4.
Ratio
a:b is 6:7 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 54:63:49
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5.
Statistics
Find the mean, median and range of: 95, 42, 17, 31, 61, 28, 44, 58
Answer: Mean = 47, Median = 43, Range = 78
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1.
Number
Simplify: 3√112
Answer: 12√7
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2.
Algebra
Complete the square: 2x² + 16x - 2
Answer: 2(x + 4)² - 34
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3.
Geometry
Find area of triangle: a = 23cm, b = 22cm, angle = 68°. Give your answer to 2 decimal places
Answer: 234.58cm²
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4.
Ratio
a:b is 3:5 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 24:40:15
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5.
Statistics
Find the mean, median and range of: 12, 25, 87, 71, 75, 67, 26, 36, 37. Give your answer to 2 decimal places
Answer: Mean = 48.44, Median = 37, Range = 75