Change pack
Capstone
Aug 1 - 7
25 questions
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1.
Number
Simplify: 5√45
Answer: 15√5
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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 = 12cm, b = 14cm, angle = 51°. Give your answer to 2 decimal places
Answer: 65.28cm²
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4.
Ratio
a:b is 8:9 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 56:63:45
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5.
Statistics
Find the mean, median and range of: 83, 69, 97, 47, 60, 23, 74. Give your answer to 2 decimal places
Answer: Mean = 64.71, Median = 69, Range = 74
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: 2x² - 12x - 9
Answer: 2(x - 3)² - 27
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3.
Geometry
Find area of triangle: a = 14cm, b = 26cm, angle = 44°. Give your answer to 2 decimal places
Answer: 126.43cm²
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4.
Ratio
a:b is 5:2 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 35:14:16
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5.
Statistics
Find the mean, median and range of: 56, 63, 79, 51, 77, 20, 24, 44
Answer: Mean = 51.75, Median = 53.5, Range = 59
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1.
Number
Simplify: √50
Answer: 5√2
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2.
Algebra
Complete the square: x² - x + 11
Answer: (x - 1⁄2)² + 43⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 16cm, angle = 60°. Give your answer to 2 decimal places
Answer: 83.14cm²
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4.
Ratio
a:b is 4:7 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 16:28:35
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5.
Statistics
Find the mean, median and range of: 49, 58, 76, 36, 84, 98, 72, 35, 51. Give your answer to 2 decimal places
Answer: Mean = 62.11, Median = 58, Range = 63
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1.
Number
Simplify: 4√112
Answer: 16√7
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2.
Algebra
Complete the square: x² + x + 10
Answer: (x + 1⁄2)² + 39⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 17cm, angle = 54°. Give your answer to 2 decimal places
Answer: 103.15cm²
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4.
Ratio
a:b is 8:7 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 72:63:56
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5.
Statistics
Find the mean, median and range of: 64, 81, 39, 71, 26, 47, 73, 22. Give your answer to 2 decimal places
Answer: Mean = 52.88, Median = 55.5, Range = 59
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1.
Number
Simplify: √200
Answer: 10√2
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2.
Algebra
Complete the square: x² + 11x - 11
Answer: (x + 11⁄2)² - 165⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 20cm, angle = 59°. Give your answer to 2 decimal places
Answer: 120cm²
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4.
Ratio
a:b is 7:6 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 28:24:15
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5.
Statistics
Find the mean, median and range of: 51, 47, 80, 88, 80, 70, 74, 59. Give your answer to 2 decimal places
Answer: Mean = 68.63, Median = 72, Range = 41