Change pack
Capstone
Aug 8 - 14
25 questions
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1.
Number
Simplify: √756
Answer: 6√21
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2.
Algebra
Complete the square: 5x² - 10x + 12
Answer: 5(x - 1)² + 7
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3.
Geometry
Find area of triangle: a = 18cm, b = 29cm, angle = 78°. Give your answer to 2 decimal places
Answer: 255.3cm²
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4.
Ratio
a:b is 3:4 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 9:12:16
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5.
Statistics
Find the mean, median and range of: 84, 95, 43, 45, 22, 28, 78, 22. Give your answer to 2 decimal places
Answer: Mean = 52.13, Median = 44, Range = 73
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1.
Number
Simplify: √704
Answer: 8√11
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2.
Algebra
Complete the square: 3x² + 24x + 14
Answer: 3(x + 4)² - 34
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3.
Geometry
Find area of triangle: a = 12cm, b = 22cm, angle = 53°. Give your answer to 2 decimal places
Answer: 105.42cm²
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4.
Ratio
a:b is 9:5 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 27:15:25
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5.
Statistics
Find the mean, median and range of: 12, 72, 92, 100, 90, 24, 43, 60, 93. Give your answer to 2 decimal places
Answer: Mean = 65.11, Median = 72, Range = 88
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1.
Number
Simplify: 3√40
Answer: 6√10
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2.
Algebra
Complete the square: x² + 11x - 7
Answer: (x + 11⁄2)² - 149⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 22cm, angle = 56°. Give your answer to 2 decimal places
Answer: 264.46cm²
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4.
Ratio
a:b is 1:5 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 7:35:15
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5.
Statistics
Find the mean, median and range of: 87, 81, 81, 74, 73, 70, 98, 18, 45. Give your answer to 2 decimal places
Answer: Mean = 69.67, Median = 74, Range = 80
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1.
Number
Simplify: √250
Answer: 5√10
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2.
Algebra
Complete the square: x² + 3x - 3
Answer: (x + 3⁄2)² - 21⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 24cm, angle = 55°. Give your answer to 2 decimal places
Answer: 196.6cm²
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4.
Ratio
a:b is 3:8 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 21:56:72
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5.
Statistics
Find the mean, median and range of: 20, 18, 24, 69, 85, 81, 99, 22
Answer: Mean = 52.25, Median = 46.5, Range = 81
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1.
Number
Simplify: √540
Answer: 6√15
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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 = 30cm, b = 16cm, angle = 41°. Give your answer to 2 decimal places
Answer: 157.45cm²
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4.
Ratio
a:b is 5:3 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 35:21:9
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5.
Statistics
Find the mean, median and range of: 16, 86, 48, 85, 77, 19, 62. Give your answer to 2 decimal places
Answer: Mean = 56.14, Median = 62, Range = 70