Change pack
Capstone
Nov 28 - Dec 4
25 questions
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1.
Number
Simplify: 4√28
Answer: 8√7
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2.
Algebra
Complete the square: 5x² + 20x - 5
Answer: 5(x + 2)² - 25
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3.
Geometry
Find area of triangle: a = 26cm, b = 13cm, angle = 80°. Give your answer to 2 decimal places
Answer: 166.43cm²
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4.
Ratio
a:b is 7:4 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 35:20:8
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5.
Statistics
Find the mean, median and range of: 84, 89, 10, 17, 15, 34, 88, 70. Give your answer to 2 decimal places
Answer: Mean = 50.88, Median = 52, Range = 79
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: 3x² - 12x + 8
Answer: 3(x - 2)² - 4
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3.
Geometry
Find area of triangle: a = 19cm, b = 14cm, angle = 50°. Give your answer to 2 decimal places
Answer: 101.88cm²
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4.
Ratio
a:b is 6:5 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 48:40:15
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5.
Statistics
Find the mean, median and range of: 35, 29, 72, 81, 88, 53, 73. Give your answer to 2 decimal places
Answer: Mean = 61.57, Median = 72, Range = 59
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1.
Number
Simplify: 3√96
Answer: 12√6
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2.
Algebra
Complete the square: 3x² - 18x - 15
Answer: 3(x - 3)² - 42
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3.
Geometry
Find area of triangle: a = 12cm, b = 19cm, angle = 53°. Give your answer to 2 decimal places
Answer: 91.04cm²
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4.
Ratio
a:b is 7:8 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 49:56:64
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5.
Statistics
Find the mean, median and range of: 79, 93, 31, 90, 26, 75, 51, 89
Answer: Mean = 66.75, Median = 77, Range = 67
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1.
Number
Simplify: √224
Answer: 4√14
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2.
Algebra
Complete the square: x² + 5x - 12
Answer: (x + 5⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 12cm, angle = 47°. Give your answer to 2 decimal places
Answer: 127.26cm²
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4.
Ratio
a:b is 6:7 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 12:14:49
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5.
Statistics
Find the mean, median and range of: 81, 19, 61, 90, 57, 16, 64, 95, 37. Give your answer to 2 decimal places
Answer: Mean = 57.78, Median = 61, Range = 79
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1.
Number
Simplify: √405
Answer: 9√5
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2.
Algebra
Complete the square: x² - x - 2
Answer: (x - 1⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 28cm, angle = 65°. Give your answer to 2 decimal places
Answer: 342.58cm²
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4.
Ratio
a:b is 4:7 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 12:21:28
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5.
Statistics
Find the mean, median and range of: 30, 40, 57, 61, 68, 30, 42, 24, 46. Give your answer to 2 decimal places
Answer: Mean = 44.22, Median = 42, Range = 44