Change pack
Capstone
Feb 24 - Mar 2
25 questions
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1.
Number
Simplify: √240
Answer: 4√15
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2.
Algebra
Complete the square: x² + x + 1
Answer: (x + 1⁄2)² + 3⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 26cm, angle = 79°. Give your answer to 2 decimal places
Answer: 344.55cm²
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4.
Ratio
a:b is 4:5 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 12:15:25
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5.
Statistics
Find the mean, median and range of: 46, 12, 66, 10, 65, 78, 77. Give your answer to 2 decimal places
Answer: Mean = 50.57, Median = 65, Range = 68
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1.
Number
Simplify: √612
Answer: 6√17
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2.
Algebra
Complete the square: 2x² - 4x + 1
Answer: 2(x - 1)² - 1
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3.
Geometry
Find area of triangle: a = 13cm, b = 27cm, angle = 74°. Give your answer to 2 decimal places
Answer: 168.7cm²
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4.
Ratio
a:b is 1:2 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 9:18:16
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5.
Statistics
Find the mean, median and range of: 32, 75, 19, 51, 66, 95, 51, 32, 23. Give your answer to 2 decimal places
Answer: Mean = 49.33, Median = 51, Range = 76
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1.
Number
Simplify: √352
Answer: 4√22
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2.
Algebra
Complete the square: x² + 5x - 5
Answer: (x + 5⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 27cm, angle = 79°. Give your answer to 2 decimal places
Answer: 331.3cm²
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4.
Ratio
a:b is 5:3 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 40:24:15
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5.
Statistics
Find the mean, median and range of: 60, 16, 78, 25, 37, 36, 99. Give your answer to 2 decimal places
Answer: Mean = 50.14, Median = 37, Range = 83
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1.
Number
Simplify: √475
Answer: 5√19
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2.
Algebra
Complete the square: 2x² - 20x + 11
Answer: 2(x - 5)² - 39
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3.
Geometry
Find area of triangle: a = 15cm, b = 17cm, angle = 49°. Give your answer to 2 decimal places
Answer: 96.23cm²
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4.
Ratio
a:b is 7:9 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 14:18:21
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5.
Statistics
Find the mean, median and range of: 79, 76, 60, 46, 46, 54, 53, 68
Answer: Mean = 60.25, Median = 57, Range = 33
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1.
Number
Simplify: 2√54
Answer: 6√6
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2.
Algebra
Complete the square: 2x² - 8x + 13
Answer: 2(x - 2)² + 5
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3.
Geometry
Find area of triangle: a = 26cm, b = 14cm, angle = 49°. Give your answer to 2 decimal places
Answer: 137.36cm²
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4.
Ratio
a:b is 7:9 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 56:72:63
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5.
Statistics
Find the mean, median and range of: 38, 73, 32, 76, 65, 83, 80, 89
Answer: Mean = 67, Median = 74.5, Range = 57