Change pack
Capstone
Sep 26 - Oct 2
25 questions
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1.
Number
Simplify: √1000
Answer: 10√10
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2.
Algebra
Complete the square: x² - 9x - 7
Answer: (x - 9⁄2)² - 109⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 23cm, angle = 51°. Give your answer to 2 decimal places
Answer: 223.43cm²
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4.
Ratio
a:b is 7:6 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 14:12:9
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5.
Statistics
Find the mean, median and range of: 22, 94, 97, 15, 43, 56, 84. Give your answer to 2 decimal places
Answer: Mean = 58.71, Median = 56, Range = 82
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: 3x² + 36x - 7
Answer: 3(x + 6)² - 115
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3.
Geometry
Find area of triangle: a = 21cm, b = 18cm, angle = 72°. Give your answer to 2 decimal places
Answer: 179.75cm²
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4.
Ratio
a:b is 8:9 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 64:72:81
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5.
Statistics
Find the mean, median and range of: 89, 53, 71, 66, 41, 57, 18, 28, 70. Give your answer to 2 decimal places
Answer: Mean = 54.78, Median = 57, Range = 71
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1.
Number
Simplify: √405
Answer: 9√5
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2.
Algebra
Complete the square: 3x² + 24x - 3
Answer: 3(x + 4)² - 51
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3.
Geometry
Find area of triangle: a = 26cm, b = 25cm, angle = 72°. Give your answer to 2 decimal places
Answer: 309.09cm²
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4.
Ratio
a:b is 7:2 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 21:6:2
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5.
Statistics
Find the mean, median and range of: 87, 26, 45, 17, 73, 55, 28. Give your answer to 2 decimal places
Answer: Mean = 47.29, Median = 45, Range = 70
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1.
Number
Simplify: √540
Answer: 6√15
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2.
Algebra
Complete the square: x² + 9x - 9
Answer: (x + 9⁄2)² - 117⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 24cm, angle = 74°. Give your answer to 2 decimal places
Answer: 173.03cm²
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4.
Ratio
a:b is 7:3 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 35:15:21
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5.
Statistics
Find the mean, median and range of: 83, 72, 64, 96, 68, 71, 17. Give your answer to 2 decimal places
Answer: Mean = 67.29, Median = 71, Range = 79
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1.
Number
Simplify: √756
Answer: 6√21
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2.
Algebra
Complete the square: 5x² + 30x + 10
Answer: 5(x + 3)² - 35
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3.
Geometry
Find area of triangle: a = 28cm, b = 16cm, angle = 80°. Give your answer to 2 decimal places
Answer: 220.6cm²
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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: 50, 94, 12, 71, 75, 77, 13, 94
Answer: Mean = 60.75, Median = 73, Range = 82