Change pack
Capstone
Jul 1 - 7
25 questions
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1.
Number
Simplify: 2√12
Answer: 4√3
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2.
Algebra
Complete the square: 2x² + 24x - 4
Answer: 2(x + 6)² - 76
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3.
Geometry
Find area of triangle: a = 23cm, b = 16cm, angle = 50°. Give your answer to 2 decimal places
Answer: 140.95cm²
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4.
Ratio
a:b is 5:6 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 35:42:12
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5.
Statistics
Find the mean, median and range of: 46, 15, 25, 88, 84, 61, 31, 86, 55. Give your answer to 2 decimal places
Answer: Mean = 54.56, Median = 55, Range = 73
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1.
Number
Simplify: √684
Answer: 6√19
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2.
Algebra
Complete the square: 2x² - 20x - 14
Answer: 2(x - 5)² - 64
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3.
Geometry
Find area of triangle: a = 19cm, b = 15cm, angle = 54°. Give your answer to 2 decimal places
Answer: 115.28cm²
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4.
Ratio
a:b is 7:4 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 35:20:4
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5.
Statistics
Find the mean, median and range of: 79, 10, 42, 35, 89, 51, 83, 66. Give your answer to 2 decimal places
Answer: Mean = 56.88, Median = 58.5, Range = 79
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1.
Number
Simplify: √32
Answer: 4√2
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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 = 12cm, b = 14cm, angle = 72°. Give your answer to 2 decimal places
Answer: 79.89cm²
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4.
Ratio
a:b is 8:7 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 16:14:35
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5.
Statistics
Find the mean, median and range of: 52, 23, 76, 18, 90, 81, 59, 33, 53. Give your answer to 2 decimal places
Answer: Mean = 53.89, Median = 53, Range = 72
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1.
Number
Simplify: √726
Answer: 11√6
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2.
Algebra
Complete the square: 4x² + 48x - 6
Answer: 4(x + 6)² - 150
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3.
Geometry
Find area of triangle: a = 20cm, b = 28cm, angle = 62°. Give your answer to 2 decimal places
Answer: 247.23cm²
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4.
Ratio
a:b is 9:2 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 81:18:8
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5.
Statistics
Find the mean, median and range of: 54, 94, 78, 89, 45, 54, 73, 89
Answer: Mean = 72, Median = 75.5, Range = 49
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1.
Number
Simplify: √756
Answer: 6√21
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2.
Algebra
Complete the square: 5x² - 50x + 7
Answer: 5(x - 5)² - 118
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3.
Geometry
Find area of triangle: a = 15cm, b = 13cm, angle = 66°. Give your answer to 2 decimal places
Answer: 89.07cm²
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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: 14, 100, 36, 54, 90, 38, 75, 32. Give your answer to 2 decimal places
Answer: Mean = 54.88, Median = 46, Range = 86