Change pack
Capstone
Dec 19 - 25
25 questions
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1.
Number
Simplify: √600
Answer: 10√6
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2.
Algebra
Complete the square: x² + 9x
Answer: (x + 9⁄2)² - 81⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 28cm, angle = 57°. Give your answer to 2 decimal places
Answer: 328.76cm²
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4.
Ratio
a:b is 1:4 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 3:12:16
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5.
Statistics
Find the mean, median and range of: 42, 32, 54, 41, 91, 82, 94, 61. Give your answer to 2 decimal places
Answer: Mean = 62.13, Median = 57.5, Range = 62
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1.
Number
Simplify: √810
Answer: 9√10
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2.
Algebra
Complete the square: 2x² - 16x + 2
Answer: 2(x - 4)² - 30
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3.
Geometry
Find area of triangle: a = 25cm, b = 17cm, angle = 77°. Give your answer to 2 decimal places
Answer: 207.05cm²
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4.
Ratio
a:b is 7:5 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 21:15:20
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5.
Statistics
Find the mean, median and range of: 73, 68, 40, 14, 30, 15, 13. Give your answer to 2 decimal places
Answer: Mean = 36.14, Median = 30, Range = 60
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1.
Number
Simplify: √294
Answer: 7√6
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2.
Algebra
Complete the square: 2x² + 20x + 2
Answer: 2(x + 5)² - 48
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3.
Geometry
Find area of triangle: a = 22cm, b = 17cm, angle = 45°. Give your answer to 2 decimal places
Answer: 132.23cm²
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4.
Ratio
a:b is 9:8 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 63:56:16
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5.
Statistics
Find the mean, median and range of: 31, 87, 12, 72, 83, 26, 69. Give your answer to 2 decimal places
Answer: Mean = 54.29, Median = 69, Range = 75
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1.
Number
Simplify: √32
Answer: 4√2
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2.
Algebra
Complete the square: x² - 5x + 4
Answer: (x - 5⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 28cm, angle = 44°. Give your answer to 2 decimal places
Answer: 252.86cm²
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4.
Ratio
a:b is 7:8 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 35:40:48
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5.
Statistics
Find the mean, median and range of: 50, 14, 61, 63, 97, 21, 84, 39, 57
Answer: Mean = 54, Median = 57, Range = 83
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: 5x² - 40x - 4
Answer: 5(x - 4)² - 84
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3.
Geometry
Find area of triangle: a = 28cm, b = 27cm, angle = 76°. Give your answer to 2 decimal places
Answer: 366.77cm²
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4.
Ratio
a:b is 5:6 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 10:12:3
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5.
Statistics
Find the mean, median and range of: 79, 54, 82, 81, 36, 98, 87, 93
Answer: Mean = 76.25, Median = 81.5, Range = 62