Change pack
Capstone
Aug 9 - 15
25 questions
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1.
Number
Simplify: 3√45
Answer: 9√5
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2.
Algebra
Complete the square: x² - 11x + 2
Answer: (x - 11⁄2)² - 113⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 22cm, angle = 67°. Give your answer to 2 decimal places
Answer: 212.64cm²
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4.
Ratio
a:b is 1:3 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 8:24:21
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5.
Statistics
Find the mean, median and range of: 24, 98, 93, 31, 98, 90, 80, 58
Answer: Mean = 71.5, Median = 85, Range = 74
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1.
Number
Simplify: √637
Answer: 7√13
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2.
Algebra
Complete the square: 2x² - 4x + 5
Answer: 2(x - 1)² + 3
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3.
Geometry
Find area of triangle: a = 13cm, b = 16cm, angle = 47°. Give your answer to 2 decimal places
Answer: 76.06cm²
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4.
Ratio
a:b is 4:7 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 16:28:49
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5.
Statistics
Find the mean, median and range of: 14, 82, 37, 26, 17, 64, 100, 53. Give your answer to 2 decimal places
Answer: Mean = 49.13, Median = 45, Range = 86
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1.
Number
Simplify: √600
Answer: 10√6
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2.
Algebra
Complete the square: x² + 9x + 3
Answer: (x + 9⁄2)² - 69⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 18cm, angle = 55°. Give your answer to 2 decimal places
Answer: 140.07cm²
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4.
Ratio
a:b is 3:2 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 9:6:10
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5.
Statistics
Find the mean, median and range of: 78, 31, 86, 89, 95, 12, 37. Give your answer to 2 decimal places
Answer: Mean = 61.14, Median = 78, Range = 83
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1.
Number
Simplify: √810
Answer: 9√10
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2.
Algebra
Complete the square: 5x² - 10x - 14
Answer: 5(x - 1)² - 19
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3.
Geometry
Find area of triangle: a = 20cm, b = 30cm, angle = 80°. Give your answer to 2 decimal places
Answer: 295.44cm²
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4.
Ratio
a:b is 2:5 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 18:45:5
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5.
Statistics
Find the mean, median and range of: 76, 22, 67, 18, 94, 12, 79, 16
Answer: Mean = 48, Median = 44.5, Range = 82
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1.
Number
Simplify: 4√27
Answer: 12√3
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2.
Algebra
Complete the square: 3x² - 24x + 2
Answer: 3(x - 4)² - 46
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3.
Geometry
Find area of triangle: a = 25cm, b = 23cm, angle = 79°. Give your answer to 2 decimal places
Answer: 282.22cm²
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4.
Ratio
a:b is 1:7 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 9:63:56
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5.
Statistics
Find the mean, median and range of: 91, 23, 70, 55, 52, 48, 54, 87, 86. Give your answer to 2 decimal places
Answer: Mean = 62.89, Median = 55, Range = 68