Change pack
Capstone
Dec 18 - 24
25 questions
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1.
Number
Simplify: √726
Answer: 11√6
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2.
Algebra
Complete the square: 5x² + 30x + 14
Answer: 5(x + 3)² - 31
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3.
Geometry
Find area of triangle: a = 21cm, b = 19cm, angle = 52°. Give your answer to 2 decimal places
Answer: 157.21cm²
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4.
Ratio
a:b is 8:5 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 64:40:45
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5.
Statistics
Find the mean, median and range of: 62, 50, 92, 29, 28, 46, 43, 75, 19. Give your answer to 2 decimal places
Answer: Mean = 49.33, Median = 46, Range = 73
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1.
Number
Simplify: √300
Answer: 10√3
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2.
Algebra
Complete the square: 4x² + 16x - 11
Answer: 4(x + 2)² - 27
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3.
Geometry
Find area of triangle: a = 24cm, b = 21cm, angle = 41°. Give your answer to 2 decimal places
Answer: 165.33cm²
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4.
Ratio
a:b is 6:7 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 18:21:35
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5.
Statistics
Find the mean, median and range of: 24, 34, 39, 33, 90, 51, 48. Give your answer to 2 decimal places
Answer: Mean = 45.57, Median = 39, Range = 66
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1.
Number
Simplify: √240
Answer: 4√15
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2.
Algebra
Complete the square: 5x² + 50x + 4
Answer: 5(x + 5)² - 121
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3.
Geometry
Find area of triangle: a = 17cm, b = 30cm, angle = 54°. Give your answer to 2 decimal places
Answer: 206.3cm²
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4.
Ratio
a:b is 7:2 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 21:6:10
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5.
Statistics
Find the mean, median and range of: 22, 66, 60, 69, 79, 35, 42. Give your answer to 2 decimal places
Answer: Mean = 53.29, Median = 60, Range = 57
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1.
Number
Simplify: 5√112
Answer: 20√7
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2.
Algebra
Complete the square: 3x² + 12x + 14
Answer: 3(x + 2)² + 2
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3.
Geometry
Find area of triangle: a = 25cm, b = 18cm, angle = 68°. Give your answer to 2 decimal places
Answer: 208.62cm²
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4.
Ratio
a:b is 4:7 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 12:21:7
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5.
Statistics
Find the mean, median and range of: 61, 42, 78, 18, 79, 24, 60, 36, 23. Give your answer to 2 decimal places
Answer: Mean = 46.78, Median = 42, Range = 61
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1.
Number
Simplify: 2√63
Answer: 6√7
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2.
Algebra
Complete the square: 4x² + 40x + 13
Answer: 4(x + 5)² - 87
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3.
Geometry
Find area of triangle: a = 25cm, b = 22cm, angle = 53°. Give your answer to 2 decimal places
Answer: 219.62cm²
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4.
Ratio
a:b is 5:6 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 25:30:36
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5.
Statistics
Find the mean, median and range of: 84, 64, 24, 26, 68, 83, 69, 69, 65. Give your answer to 2 decimal places
Answer: Mean = 61.33, Median = 68, Range = 60