Change pack
Capstone
Nov 12 - 18
25 questions
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1.
Number
Simplify: 4√40
Answer: 8√10
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2.
Algebra
Complete the square: x² + 11x - 10
Answer: (x + 11⁄2)² - 161⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 24cm, angle = 69°. Give your answer to 2 decimal places
Answer: 280.07cm²
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4.
Ratio
a:b is 9:2 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 81:18:4
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5.
Statistics
Find the mean, median and range of: 90, 63, 70, 92, 47, 64, 57, 81
Answer: Mean = 70.5, Median = 67, Range = 45
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1.
Number
Simplify: √1000
Answer: 10√10
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2.
Algebra
Complete the square: 3x² + 24x + 7
Answer: 3(x + 4)² - 41
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3.
Geometry
Find area of triangle: a = 22cm, b = 25cm, angle = 76°. Give your answer to 2 decimal places
Answer: 266.83cm²
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4.
Ratio
a:b is 4:7 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 24:42:35
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5.
Statistics
Find the mean, median and range of: 58, 64, 60, 36, 96, 73, 39. Give your answer to 2 decimal places
Answer: Mean = 60.86, Median = 60, Range = 60
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1.
Number
Simplify: √72
Answer: 6√2
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2.
Algebra
Complete the square: 3x² + 30x + 8
Answer: 3(x + 5)² - 67
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3.
Geometry
Find area of triangle: a = 20cm, b = 26cm, angle = 65°. Give your answer to 2 decimal places
Answer: 235.64cm²
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4.
Ratio
a:b is 2:7 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 6:21:14
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5.
Statistics
Find the mean, median and range of: 27, 78, 30, 95, 11, 78, 14, 22. Give your answer to 2 decimal places
Answer: Mean = 44.38, Median = 28.5, Range = 84
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1.
Number
Simplify: √75
Answer: 5√3
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2.
Algebra
Complete the square: x² + 11x - 3
Answer: (x + 11⁄2)² - 133⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 23cm, angle = 68°. Give your answer to 2 decimal places
Answer: 159.94cm²
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4.
Ratio
a:b is 5:4 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 45:36:8
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5.
Statistics
Find the mean, median and range of: 63, 72, 59, 60, 85, 84, 91. Give your answer to 2 decimal places
Answer: Mean = 73.43, Median = 72, Range = 32
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1.
Number
Simplify: √720
Answer: 12√5
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2.
Algebra
Complete the square: 3x² - 36x - 15
Answer: 3(x - 6)² - 123
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3.
Geometry
Find area of triangle: a = 14cm, b = 16cm, angle = 62°. Give your answer to 2 decimal places
Answer: 98.89cm²
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4.
Ratio
a:b is 7:9 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 35:45:18
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5.
Statistics
Find the mean, median and range of: 43, 91, 35, 22, 84, 65, 12, 41, 20. Give your answer to 2 decimal places
Answer: Mean = 45.89, Median = 41, Range = 79