Change pack
Capstone
Mar 26 - Apr 1
25 questions
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1.
Number
Simplify: √896
Answer: 8√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 = 16cm, b = 23cm, angle = 53°. Give your answer to 2 decimal places
Answer: 146.95cm²
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4.
Ratio
a:b is 7:5 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 63:45:10
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5.
Statistics
Find the mean, median and range of: 74, 44, 68, 19, 42, 98, 66, 99, 27. Give your answer to 2 decimal places
Answer: Mean = 59.67, Median = 66, Range = 80
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1.
Number
Simplify: √960
Answer: 8√15
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2.
Algebra
Complete the square: 2x² + 16x - 11
Answer: 2(x + 4)² - 43
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3.
Geometry
Find area of triangle: a = 12cm, b = 26cm, angle = 73°. Give your answer to 2 decimal places
Answer: 149.18cm²
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4.
Ratio
a:b is 9:7 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 36:28:63
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5.
Statistics
Find the mean, median and range of: 23, 47, 40, 93, 94, 72, 45, 61. Give your answer to 2 decimal places
Answer: Mean = 59.38, Median = 54, Range = 71
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1.
Number
Simplify: 3√20
Answer: 6√5
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2.
Algebra
Complete the square: x² - 5x - 4
Answer: (x - 5⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 19cm, angle = 61°. Give your answer to 2 decimal places
Answer: 232.65cm²
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4.
Ratio
a:b is 1:9 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 2:18:15
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5.
Statistics
Find the mean, median and range of: 41, 99, 50, 14, 41, 24, 45. Give your answer to 2 decimal places
Answer: Mean = 44.86, Median = 41, Range = 85
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1.
Number
Simplify: √612
Answer: 6√17
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2.
Algebra
Complete the square: x² - 5x + 8
Answer: (x - 5⁄2)² + 7⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 13cm, angle = 67°. Give your answer to 2 decimal places
Answer: 83.77cm²
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4.
Ratio
a:b is 7:6 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 49:42:54
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5.
Statistics
Find the mean, median and range of: 35, 100, 76, 95, 94, 30, 25
Answer: Mean = 65, Median = 76, Range = 75
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: x² + 9x - 8
Answer: (x + 9⁄2)² - 113⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 14cm, angle = 61°. Give your answer to 2 decimal places
Answer: 79.59cm²
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4.
Ratio
a:b is 5:2 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 35:14:6
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5.
Statistics
Find the mean, median and range of: 17, 30, 94, 23, 60, 23, 31, 59, 78. Give your answer to 2 decimal places
Answer: Mean = 46.11, Median = 31, Range = 77