Change pack
Capstone
May 22 - 28
25 questions
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1.
Number
Simplify: √216
Answer: 6√6
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2.
Algebra
Complete the square: 5x² - 50x + 8
Answer: 5(x - 5)² - 117
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3.
Geometry
Find area of triangle: a = 15cm, b = 20cm, angle = 47°. Give your answer to 2 decimal places
Answer: 109.7cm²
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4.
Ratio
a:b is 1:9 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 2:18:63
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5.
Statistics
Find the mean, median and range of: 78, 100, 31, 75, 14, 72, 30, 46
Answer: Mean = 55.75, Median = 59, Range = 86
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: 5x² + 50x + 11
Answer: 5(x + 5)² - 114
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3.
Geometry
Find area of triangle: a = 14cm, b = 21cm, angle = 56°. Give your answer to 2 decimal places
Answer: 121.87cm²
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4.
Ratio
a:b is 3:2 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 15:10:4
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5.
Statistics
Find the mean, median and range of: 62, 36, 52, 93, 75, 11, 99, 41. Give your answer to 2 decimal places
Answer: Mean = 58.63, Median = 57, Range = 88
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1.
Number
Simplify: √405
Answer: 9√5
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2.
Algebra
Complete the square: x² - 7x + 7
Answer: (x - 7⁄2)² - 21⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 18cm, angle = 64°. Give your answer to 2 decimal places
Answer: 194.14cm²
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4.
Ratio
a:b is 7:9 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 14:18:45
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5.
Statistics
Find the mean, median and range of: 55, 57, 22, 81, 65, 77, 28, 24, 72. Give your answer to 2 decimal places
Answer: Mean = 53.44, Median = 57, Range = 59
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1.
Number
Simplify: √325
Answer: 5√13
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2.
Algebra
Complete the square: x² - 7x + 1
Answer: (x - 7⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 24cm, angle = 45°. Give your answer to 2 decimal places
Answer: 161.22cm²
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4.
Ratio
a:b is 8:5 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 72:45:20
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5.
Statistics
Find the mean, median and range of: 37, 95, 19, 88, 35, 40, 58, 80
Answer: Mean = 56.5, Median = 49, Range = 76
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1.
Number
Simplify: √567
Answer: 9√7
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2.
Algebra
Complete the square: 3x² + 30x + 11
Answer: 3(x + 5)² - 64
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3.
Geometry
Find area of triangle: a = 20cm, b = 23cm, angle = 50°. Give your answer to 2 decimal places
Answer: 176.19cm²
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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: 23, 37, 67, 89, 47, 98, 93, 100, 87. Give your answer to 2 decimal places
Answer: Mean = 71.22, Median = 87, Range = 77