Change pack
Capstone
Mar 5 - 11
25 questions
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1.
Number
Simplify: √72
Answer: 6√2
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2.
Algebra
Complete the square: x² - 7x + 10
Answer: (x - 7⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 17cm, angle = 77°. Give your answer to 2 decimal places
Answer: 231.9cm²
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4.
Ratio
a:b is 2:9 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 8:36:9
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5.
Statistics
Find the mean, median and range of: 43, 46, 18, 55, 61, 90, 81, 24
Answer: Mean = 52.25, Median = 50.5, Range = 72
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1.
Number
Simplify: √468
Answer: 6√13
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2.
Algebra
Complete the square: x² - 3x + 7
Answer: (x - 3⁄2)² + 19⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 24cm, angle = 43°. Give your answer to 2 decimal places
Answer: 106.39cm²
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4.
Ratio
a:b is 5:9 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 20:36:63
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5.
Statistics
Find the mean, median and range of: 85, 84, 95, 56, 100, 53, 85, 61. Give your answer to 2 decimal places
Answer: Mean = 77.38, Median = 84.5, Range = 47
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1.
Number
Simplify: √216
Answer: 6√6
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2.
Algebra
Complete the square: 4x² - 40x - 11
Answer: 4(x - 5)² - 111
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3.
Geometry
Find area of triangle: a = 19cm, b = 16cm, angle = 41°. Give your answer to 2 decimal places
Answer: 99.72cm²
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4.
Ratio
a:b is 9:4 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 45:20:28
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5.
Statistics
Find the mean, median and range of: 51, 84, 81, 79, 64, 24, 43. Give your answer to 2 decimal places
Answer: Mean = 60.86, Median = 64, Range = 60
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1.
Number
Simplify: √150
Answer: 5√6
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2.
Algebra
Complete the square: x² + 3x + 3
Answer: (x + 3⁄2)² + 3⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 20cm, angle = 56°. Give your answer to 2 decimal places
Answer: 207.26cm²
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4.
Ratio
a:b is 5:2 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 45:18:10
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5.
Statistics
Find the mean, median and range of: 27, 79, 88, 13, 85, 48, 35, 74. Give your answer to 2 decimal places
Answer: Mean = 56.13, Median = 61, Range = 75
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1.
Number
Simplify: √245
Answer: 7√5
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2.
Algebra
Complete the square: x² + x - 10
Answer: (x + 1⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 15cm, angle = 55°. Give your answer to 2 decimal places
Answer: 98.3cm²
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4.
Ratio
a:b is 7:6 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 28:24:27
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5.
Statistics
Find the mean, median and range of: 86, 99, 27, 30, 66, 44, 51. Give your answer to 2 decimal places
Answer: Mean = 57.57, Median = 51, Range = 72