Change pack
Capstone
Mar 21 - 27
25 questions
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1.
Number
Simplify: √896
Answer: 8√14
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2.
Algebra
Complete the square: x² - 5x - 11
Answer: (x - 5⁄2)² - 69⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 19cm, angle = 73°. Give your answer to 2 decimal places
Answer: 163.53cm²
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4.
Ratio
a:b is 1:5 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 8:40:5
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5.
Statistics
Find the mean, median and range of: 68, 38, 95, 46, 73, 40, 82. Give your answer to 2 decimal places
Answer: Mean = 63.14, Median = 68, Range = 57
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1.
Number
Simplify: √243
Answer: 9√3
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2.
Algebra
Complete the square: 4x² - 16x + 15
Answer: 4(x - 2)² - 1
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3.
Geometry
Find area of triangle: a = 23cm, b = 15cm, angle = 45°. Give your answer to 2 decimal places
Answer: 121.98cm²
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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: 44, 87, 51, 89, 98, 79, 19, 69
Answer: Mean = 67, Median = 74, Range = 79
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1.
Number
Simplify: 3√12
Answer: 6√3
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2.
Algebra
Complete the square: x² - x + 9
Answer: (x - 1⁄2)² + 35⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 12cm, angle = 56°. Give your answer to 2 decimal places
Answer: 144.25cm²
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4.
Ratio
a:b is 5:4 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 25:20:12
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5.
Statistics
Find the mean, median and range of: 54, 35, 39, 49, 54, 77, 50. Give your answer to 2 decimal places
Answer: Mean = 51.14, Median = 50, Range = 42
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1.
Number
Simplify: √352
Answer: 4√22
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2.
Algebra
Complete the square: x² + 5x - 1
Answer: (x + 5⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 15cm, angle = 53°. Give your answer to 2 decimal places
Answer: 119.8cm²
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4.
Ratio
a:b is 6:5 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 48:40:45
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5.
Statistics
Find the mean, median and range of: 73, 89, 46, 91, 84, 97, 94, 100
Answer: Mean = 84.25, Median = 90, Range = 54
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1.
Number
Simplify: √792
Answer: 6√22
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2.
Algebra
Complete the square: x² + 7x + 6
Answer: (x + 7⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 14cm, angle = 62°. Give your answer to 2 decimal places
Answer: 173.06cm²
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4.
Ratio
a:b is 5:4 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 15:12:4
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5.
Statistics
Find the mean, median and range of: 91, 33, 99, 10, 26, 37, 51, 75, 71. Give your answer to 2 decimal places
Answer: Mean = 54.78, Median = 51, Range = 89