Change pack
Capstone
Apr 29 - May 5
25 questions
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1.
Number
Simplify: √294
Answer: 7√6
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2.
Algebra
Complete the square: x² - 7x + 8
Answer: (x - 7⁄2)² - 17⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 20cm, angle = 76°. Give your answer to 2 decimal places
Answer: 135.84cm²
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4.
Ratio
a:b is 7:3 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 49:21:12
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5.
Statistics
Find the mean, median and range of: 40, 79, 61, 65, 27, 81, 52, 16, 87. Give your answer to 2 decimal places
Answer: Mean = 56.44, Median = 61, Range = 71
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1.
Number
Simplify: √637
Answer: 7√13
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2.
Algebra
Complete the square: x² - 9x - 7
Answer: (x - 9⁄2)² - 109⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 25cm, angle = 47°. Give your answer to 2 decimal places
Answer: 164.55cm²
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4.
Ratio
a:b is 7:5 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 14:10:25
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5.
Statistics
Find the mean, median and range of: 86, 92, 57, 35, 32, 22, 89
Answer: Mean = 59, Median = 57, Range = 70
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1.
Number
Simplify: 2√12
Answer: 4√3
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2.
Algebra
Complete the square: 2x² + 16x - 10
Answer: 2(x + 4)² - 42
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3.
Geometry
Find area of triangle: a = 28cm, b = 18cm, angle = 68°. Give your answer to 2 decimal places
Answer: 233.65cm²
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4.
Ratio
a:b is 9:2 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 27:6:14
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5.
Statistics
Find the mean, median and range of: 45, 93, 36, 60, 89, 38, 55, 21, 73. Give your answer to 2 decimal places
Answer: Mean = 56.67, Median = 55, Range = 72
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1.
Number
Simplify: 4√27
Answer: 12√3
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2.
Algebra
Complete the square: 5x² + 20x + 1
Answer: 5(x + 2)² - 19
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3.
Geometry
Find area of triangle: a = 24cm, b = 27cm, angle = 77°. Give your answer to 2 decimal places
Answer: 315.7cm²
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4.
Ratio
a:b is 5:6 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 15:18:2
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5.
Statistics
Find the mean, median and range of: 23, 26, 43, 25, 78, 44, 26, 77
Answer: Mean = 42.75, Median = 34.5, Range = 55
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: x² + x - 6
Answer: (x + 1⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 26cm, angle = 53°. Give your answer to 2 decimal places
Answer: 228.41cm²
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4.
Ratio
a:b is 1:7 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 3:21:56
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5.
Statistics
Find the mean, median and range of: 97, 21, 12, 84, 18, 45, 32, 84. Give your answer to 2 decimal places
Answer: Mean = 49.13, Median = 38.5, Range = 85