Change pack
Capstone
May 23 - 29
25 questions
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1.
Number
Simplify: 4√24
Answer: 8√6
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2.
Algebra
Complete the square: 4x² - 24x
Answer: 4(x - 3)² - 36
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3.
Geometry
Find area of triangle: a = 25cm, b = 30cm, angle = 79°. Give your answer to 2 decimal places
Answer: 368.11cm²
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4.
Ratio
a:b is 1:7 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 5:35:14
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5.
Statistics
Find the mean, median and range of: 47, 63, 43, 34, 31, 27, 49
Answer: Mean = 42, Median = 43, Range = 36
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1.
Number
Simplify: 3√99
Answer: 9√11
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2.
Algebra
Complete the square: 4x² - 40x - 11
Answer: 4(x - 5)² - 111
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3.
Geometry
Find area of triangle: a = 19cm, b = 24cm, angle = 62°. Give your answer to 2 decimal places
Answer: 201.31cm²
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4.
Ratio
a:b is 1:6 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 3:18:8
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5.
Statistics
Find the mean, median and range of: 37, 70, 24, 69, 81, 42, 41
Answer: Mean = 52, Median = 42, Range = 57
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1.
Number
Simplify: 3√18
Answer: 9√2
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2.
Algebra
Complete the square: 5x² + 20x + 5
Answer: 5(x + 2)² - 15
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3.
Geometry
Find area of triangle: a = 24cm, b = 13cm, angle = 55°. Give your answer to 2 decimal places
Answer: 127.79cm²
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4.
Ratio
a:b is 2:5 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 4:10:25
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5.
Statistics
Find the mean, median and range of: 21, 15, 57, 16, 84, 64, 60, 46, 99. Give your answer to 2 decimal places
Answer: Mean = 51.33, Median = 57, Range = 84
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1.
Number
Simplify: √208
Answer: 4√13
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2.
Algebra
Complete the square: x² - 11x + 1
Answer: (x - 11⁄2)² - 117⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 30cm, angle = 72°. Give your answer to 2 decimal places
Answer: 299.58cm²
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4.
Ratio
a:b is 1:3 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 8:24:27
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5.
Statistics
Find the mean, median and range of: 11, 91, 72, 81, 95, 38, 78. Give your answer to 2 decimal places
Answer: Mean = 66.57, Median = 78, Range = 84
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1.
Number
Simplify: √75
Answer: 5√3
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2.
Algebra
Complete the square: x² + 9x
Answer: (x + 9⁄2)² - 81⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 20cm, angle = 52°. Give your answer to 2 decimal places
Answer: 94.56cm²
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4.
Ratio
a:b is 9:5 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 81:45:10
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5.
Statistics
Find the mean, median and range of: 57, 46, 86, 72, 95, 63, 18, 23, 86. Give your answer to 2 decimal places
Answer: Mean = 60.67, Median = 63, Range = 77