Change pack
Capstone
Jun 3 - 9
25 questions
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1.
Number
Simplify: √48
Answer: 4√3
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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 = 26cm, b = 20cm, angle = 69°. Give your answer to 2 decimal places
Answer: 242.73cm²
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4.
Ratio
a:b is 1:4 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 7:28:16
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5.
Statistics
Find the mean, median and range of: 43, 11, 80, 93, 60, 92, 28, 46, 28. Give your answer to 2 decimal places
Answer: Mean = 53.44, Median = 46, Range = 82
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1.
Number
Simplify: √405
Answer: 9√5
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2.
Algebra
Complete the square: 2x² - 4x - 10
Answer: 2(x - 1)² - 12
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3.
Geometry
Find area of triangle: a = 21cm, b = 17cm, angle = 69°. Give your answer to 2 decimal places
Answer: 166.64cm²
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4.
Ratio
a:b is 7:9 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 14:18:3
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5.
Statistics
Find the mean, median and range of: 10, 63, 57, 26, 46, 15, 79. Give your answer to 2 decimal places
Answer: Mean = 42.29, Median = 46, Range = 69
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1.
Number
Simplify: 4√12
Answer: 8√3
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2.
Algebra
Complete the square: x² - 9x - 6
Answer: (x - 9⁄2)² - 105⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 23cm, angle = 42°. Give your answer to 2 decimal places
Answer: 176.99cm²
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4.
Ratio
a:b is 2:7 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 10:35:7
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5.
Statistics
Find the mean, median and range of: 10, 73, 96, 63, 63, 73, 83, 23
Answer: Mean = 60.5, Median = 68, Range = 86
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1.
Number
Simplify: √931
Answer: 7√19
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2.
Algebra
Complete the square: x² + 3x - 11
Answer: (x + 3⁄2)² - 53⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 28cm, angle = 40°. Give your answer to 2 decimal places
Answer: 116.99cm²
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4.
Ratio
a:b is 4:7 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 32:56:35
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5.
Statistics
Find the mean, median and range of: 11, 74, 68, 35, 65, 11, 64. Give your answer to 2 decimal places
Answer: Mean = 46.86, Median = 64, Range = 63
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: x² - 11x + 3
Answer: (x - 11⁄2)² - 109⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 15cm, angle = 54°. Give your answer to 2 decimal places
Answer: 182.03cm²
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4.
Ratio
a:b is 8:3 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 64:24:9
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5.
Statistics
Find the mean, median and range of: 98, 71, 100, 66, 89, 87, 66. Give your answer to 2 decimal places
Answer: Mean = 82.43, Median = 87, Range = 34