Change pack
Capstone
Dec 7 - 13
25 questions
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1.
Number
Simplify: √48
Answer: 4√3
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2.
Algebra
Complete the square: x² - 3x - 5
Answer: (x - 3⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 18cm, angle = 45°. Give your answer to 2 decimal places
Answer: 95.46cm²
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4.
Ratio
a:b is 1:2 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 5:10:12
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5.
Statistics
Find the mean, median and range of: 17, 26, 39, 24, 57, 90, 38. Give your answer to 2 decimal places
Answer: Mean = 41.57, Median = 38, Range = 73
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1.
Number
Simplify: 2√28
Answer: 4√7
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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 = 20cm, b = 17cm, angle = 63°. Give your answer to 2 decimal places
Answer: 151.47cm²
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4.
Ratio
a:b is 6:7 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 30:35:21
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5.
Statistics
Find the mean, median and range of: 53, 89, 93, 46, 83, 78, 32, 27. Give your answer to 2 decimal places
Answer: Mean = 62.63, Median = 65.5, Range = 66
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1.
Number
Simplify: 3√150
Answer: 15√6
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2.
Algebra
Complete the square: x² - 11x
Answer: (x - 11⁄2)² - 121⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 28cm, angle = 57°. Give your answer to 2 decimal places
Answer: 211.34cm²
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4.
Ratio
a:b is 4:5 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 36:45:5
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5.
Statistics
Find the mean, median and range of: 39, 94, 15, 72, 20, 49, 21, 42
Answer: Mean = 44, Median = 40.5, Range = 79
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1.
Number
Simplify: √176
Answer: 4√11
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2.
Algebra
Complete the square: 5x² - 30x - 8
Answer: 5(x - 3)² - 53
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3.
Geometry
Find area of triangle: a = 20cm, b = 13cm, angle = 62°. Give your answer to 2 decimal places
Answer: 114.78cm²
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4.
Ratio
a:b is 8:7 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 72:63:14
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5.
Statistics
Find the mean, median and range of: 13, 43, 99, 54, 11, 85, 60, 66. Give your answer to 2 decimal places
Answer: Mean = 53.88, Median = 57, Range = 88
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1.
Number
Simplify: 5√8
Answer: 10√2
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2.
Algebra
Complete the square: 5x² - 30x + 10
Answer: 5(x - 3)² - 35
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3.
Geometry
Find area of triangle: a = 30cm, b = 16cm, angle = 49°. Give your answer to 2 decimal places
Answer: 181.13cm²
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4.
Ratio
a:b is 2:9 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 4:18:15
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5.
Statistics
Find the mean, median and range of: 78, 78, 88, 75, 16, 84, 57
Answer: Mean = 68, Median = 78, Range = 72