Change pack
Capstone
Oct 10 - 16
25 questions
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1.
Number
Simplify: √832
Answer: 8√13
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2.
Algebra
Complete the square: x² + 9x + 2
Answer: (x + 9⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 25cm, angle = 60°. Give your answer to 2 decimal places
Answer: 292.28cm²
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4.
Ratio
a:b is 2:5 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 12:30:25
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5.
Statistics
Find the mean, median and range of: 11, 30, 22, 14, 88, 86, 28, 58, 10. Give your answer to 2 decimal places
Answer: Mean = 38.56, Median = 28, Range = 78
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1.
Number
Simplify: √275
Answer: 5√11
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2.
Algebra
Complete the square: 4x² + 32x - 11
Answer: 4(x + 4)² - 75
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3.
Geometry
Find area of triangle: a = 22cm, b = 23cm, angle = 61°. Give your answer to 2 decimal places
Answer: 221.28cm²
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4.
Ratio
a:b is 5:7 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 40:56:7
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5.
Statistics
Find the mean, median and range of: 19, 42, 61, 71, 10, 70, 31. Give your answer to 2 decimal places
Answer: Mean = 43.43, Median = 42, Range = 61
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: 4x² - 40x + 5
Answer: 4(x - 5)² - 95
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3.
Geometry
Find area of triangle: a = 16cm, b = 24cm, angle = 54°. Give your answer to 2 decimal places
Answer: 155.33cm²
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4.
Ratio
a:b is 7:8 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 21:24:32
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5.
Statistics
Find the mean, median and range of: 70, 73, 46, 88, 18, 93, 30, 69, 21. Give your answer to 2 decimal places
Answer: Mean = 56.44, Median = 69, Range = 75
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: x² + 5x + 11
Answer: (x + 5⁄2)² + 19⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 29cm, angle = 70°. Give your answer to 2 decimal places
Answer: 367.89cm²
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4.
Ratio
a:b is 5:9 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 40:72:27
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5.
Statistics
Find the mean, median and range of: 78, 74, 52, 80, 33, 17, 32, 63. Give your answer to 2 decimal places
Answer: Mean = 53.63, Median = 57.5, Range = 63
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1.
Number
Simplify: 4√40
Answer: 8√10
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2.
Algebra
Complete the square: 4x² + 32x + 10
Answer: 4(x + 4)² - 54
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3.
Geometry
Find area of triangle: a = 14cm, b = 17cm, angle = 46°. Give your answer to 2 decimal places
Answer: 85.6cm²
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4.
Ratio
a:b is 1:4 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 3:12:4
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5.
Statistics
Find the mean, median and range of: 62, 43, 94, 32, 50, 44, 35, 24, 28. Give your answer to 2 decimal places
Answer: Mean = 45.78, Median = 43, Range = 70