Change pack
Capstone
Nov 14 - 20
25 questions
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1.
Number
Simplify: √336
Answer: 4√21
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2.
Algebra
Complete the square: 2x² - 20x - 2
Answer: 2(x - 5)² - 52
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3.
Geometry
Find area of triangle: a = 15cm, b = 18cm, angle = 66°. Give your answer to 2 decimal places
Answer: 123.33cm²
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4.
Ratio
a:b is 2:9 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 14:63:27
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5.
Statistics
Find the mean, median and range of: 65, 40, 53, 88, 58, 48, 41. Give your answer to 2 decimal places
Answer: Mean = 56.14, Median = 53, Range = 48
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1.
Number
Simplify: √275
Answer: 5√11
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2.
Algebra
Complete the square: x² - 5x - 3
Answer: (x - 5⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 27cm, angle = 75°. Give your answer to 2 decimal places
Answer: 352.08cm²
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4.
Ratio
a:b is 5:8 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 25:40:24
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5.
Statistics
Find the mean, median and range of: 35, 82, 100, 95, 53, 61, 26, 89. Give your answer to 2 decimal places
Answer: Mean = 67.63, Median = 71.5, Range = 74
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1.
Number
Simplify: 4√32
Answer: 16√2
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2.
Algebra
Complete the square: x² + 3x - 6
Answer: (x + 3⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 28cm, angle = 57°. Give your answer to 2 decimal places
Answer: 340.5cm²
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4.
Ratio
a:b is 5:4 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 35:28:12
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5.
Statistics
Find the mean, median and range of: 32, 98, 30, 14, 15, 40, 27, 21, 23. Give your answer to 2 decimal places
Answer: Mean = 33.33, Median = 27, Range = 84
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1.
Number
Simplify: √294
Answer: 7√6
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2.
Algebra
Complete the square: x² - 11x - 2
Answer: (x - 11⁄2)² - 129⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 18cm, angle = 59°. Give your answer to 2 decimal places
Answer: 169.72cm²
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4.
Ratio
a:b is 9:2 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 27:6:2
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5.
Statistics
Find the mean, median and range of: 62, 19, 62, 32, 75, 49, 86, 85, 79
Answer: Mean = 61, Median = 62, Range = 67
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1.
Number
Simplify: √192
Answer: 8√3
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2.
Algebra
Complete the square: 3x² + 12x + 10
Answer: 3(x + 2)² - 2
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3.
Geometry
Find area of triangle: a = 15cm, b = 16cm, angle = 63°. Give your answer to 2 decimal places
Answer: 106.92cm²
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4.
Ratio
a:b is 3:2 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 9:6:2
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5.
Statistics
Find the mean, median and range of: 60, 93, 51, 22, 51, 25, 69
Answer: Mean = 53, Median = 51, Range = 71