Change pack
Capstone
Sep 7 - 13
25 questions
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1.
Number
Simplify: √98
Answer: 7√2
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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 = 16cm, b = 27cm, angle = 62°. Give your answer to 2 decimal places
Answer: 190.72cm²
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4.
Ratio
a:b is 5:4 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 35:28:16
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5.
Statistics
Find the mean, median and range of: 11, 36, 55, 12, 91, 42, 47
Answer: Mean = 42, Median = 42, Range = 80
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1.
Number
Simplify: √224
Answer: 4√14
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2.
Algebra
Complete the square: x² - 9x - 10
Answer: (x - 9⁄2)² - 121⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 25cm, angle = 70°. Give your answer to 2 decimal places
Answer: 281.91cm²
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4.
Ratio
a:b is 1:4 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 5:20:28
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5.
Statistics
Find the mean, median and range of: 30, 25, 97, 49, 78, 64, 51, 13. Give your answer to 2 decimal places
Answer: Mean = 50.88, Median = 50, Range = 84
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1.
Number
Simplify: √486
Answer: 9√6
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2.
Algebra
Complete the square: x² + 3x + 12
Answer: (x + 3⁄2)² + 39⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 15cm, angle = 71°. Give your answer to 2 decimal places
Answer: 85.cm²
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4.
Ratio
a:b is 1:3 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 2:6:3
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5.
Statistics
Find the mean, median and range of: 50, 48, 65, 43, 95, 91, 28, 86, 89. Give your answer to 2 decimal places
Answer: Mean = 66.11, Median = 65, Range = 67
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1.
Number
Simplify: √325
Answer: 5√13
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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 = 21cm, b = 29cm, angle = 52°. Give your answer to 2 decimal places
Answer: 239.95cm²
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4.
Ratio
a:b is 8:9 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 56:63:27
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5.
Statistics
Find the mean, median and range of: 67, 66, 58, 84, 99, 70, 13, 87
Answer: Mean = 68, Median = 68.5, Range = 86
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1.
Number
Simplify: √448
Answer: 8√7
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2.
Algebra
Complete the square: 4x² + 24x - 11
Answer: 4(x + 3)² - 47
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3.
Geometry
Find area of triangle: a = 23cm, b = 22cm, angle = 43°. Give your answer to 2 decimal places
Answer: 172.55cm²
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4.
Ratio
a:b is 3:5 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 24:40:5
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5.
Statistics
Find the mean, median and range of: 10, 100, 44, 51, 47, 10, 39, 88, 86. Give your answer to 2 decimal places
Answer: Mean = 52.78, Median = 47, Range = 90