Change pack
Capstone
Mar 7 - 13
25 questions
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1.
Number
Simplify: √931
Answer: 7√19
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2.
Algebra
Complete the square: 5x² + 60x + 10
Answer: 5(x + 6)² - 170
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3.
Geometry
Find area of triangle: a = 29cm, b = 12cm, angle = 48°. Give your answer to 2 decimal places
Answer: 129.31cm²
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4.
Ratio
a:b is 9:8 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 27:24:4
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5.
Statistics
Find the mean, median and range of: 95, 25, 73, 37, 19, 48, 11, 77. Give your answer to 2 decimal places
Answer: Mean = 48.13, Median = 42.5, Range = 84
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1.
Number
Simplify: √98
Answer: 7√2
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2.
Algebra
Complete the square: 3x² + 30x - 9
Answer: 3(x + 5)² - 84
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3.
Geometry
Find area of triangle: a = 22cm, b = 18cm, angle = 68°. Give your answer to 2 decimal places
Answer: 183.58cm²
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4.
Ratio
a:b is 4:7 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 8:14:49
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5.
Statistics
Find the mean, median and range of: 70, 97, 38, 46, 64, 27, 17, 38. Give your answer to 2 decimal places
Answer: Mean = 49.63, Median = 42, Range = 80
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1.
Number
Simplify: √864
Answer: 12√6
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2.
Algebra
Complete the square: x² + 11x - 11
Answer: (x + 11⁄2)² - 165⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 13cm, angle = 42°. Give your answer to 2 decimal places
Answer: 82.64cm²
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4.
Ratio
a:b is 1:9 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 5:45:9
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5.
Statistics
Find the mean, median and range of: 78, 37, 16, 99, 65, 74, 11. Give your answer to 2 decimal places
Answer: Mean = 54.29, Median = 65, Range = 88
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1.
Number
Simplify: √504
Answer: 6√14
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2.
Algebra
Complete the square: 4x² + 24x + 4
Answer: 4(x + 3)² - 32
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3.
Geometry
Find area of triangle: a = 23cm, b = 18cm, angle = 74°. Give your answer to 2 decimal places
Answer: 198.98cm²
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4.
Ratio
a:b is 7:5 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 49:35:5
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5.
Statistics
Find the mean, median and range of: 71, 27, 22, 76, 74, 30, 68, 50
Answer: Mean = 52.25, Median = 59, Range = 54
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1.
Number
Simplify: √160
Answer: 4√10
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2.
Algebra
Complete the square: 4x² - 48x - 3
Answer: 4(x - 6)² - 147
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3.
Geometry
Find area of triangle: a = 22cm, b = 21cm, angle = 57°. Give your answer to 2 decimal places
Answer: 193.73cm²
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4.
Ratio
a:b is 5:4 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 45:36:32
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5.
Statistics
Find the mean, median and range of: 100, 40, 48, 68, 58, 80, 53, 100, 92
Answer: Mean = 71, Median = 68, Range = 60