Change pack
Capstone
Nov 11 - 17
25 questions
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1.
Number
Simplify: √504
Answer: 6√14
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2.
Algebra
Complete the square: 3x² - 30x + 10
Answer: 3(x - 5)² - 65
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3.
Geometry
Find area of triangle: a = 18cm, b = 30cm, angle = 45°. Give your answer to 2 decimal places
Answer: 190.92cm²
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4.
Ratio
a:b is 9:7 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 54:42:7
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5.
Statistics
Find the mean, median and range of: 57, 47, 77, 25, 24, 16, 47, 33
Answer: Mean = 40.75, Median = 40, Range = 61
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1.
Number
Simplify: 3√75
Answer: 15√3
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2.
Algebra
Complete the square: 3x² + 6x + 7
Answer: 3(x + 1)² + 4
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3.
Geometry
Find area of triangle: a = 20cm, b = 15cm, angle = 75°. Give your answer to 2 decimal places
Answer: 144.89cm²
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4.
Ratio
a:b is 2:7 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 10:35:42
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5.
Statistics
Find the mean, median and range of: 83, 35, 11, 52, 31, 56, 13. Give your answer to 2 decimal places
Answer: Mean = 40.14, Median = 35, Range = 72
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1.
Number
Simplify: √98
Answer: 7√2
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2.
Algebra
Complete the square: 3x² - 6x - 8
Answer: 3(x - 1)² - 11
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3.
Geometry
Find area of triangle: a = 22cm, b = 25cm, angle = 78°. Give your answer to 2 decimal places
Answer: 268.99cm²
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4.
Ratio
a:b is 8:9 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 16:18:81
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5.
Statistics
Find the mean, median and range of: 51, 57, 94, 38, 74, 69, 74. Give your answer to 2 decimal places
Answer: Mean = 65.29, Median = 69, Range = 56
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1.
Number
Simplify: √704
Answer: 8√11
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2.
Algebra
Complete the square: 4x² + 8x - 5
Answer: 4(x + 1)² - 9
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3.
Geometry
Find area of triangle: a = 23cm, b = 16cm, angle = 66°. Give your answer to 2 decimal places
Answer: 168.09cm²
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4.
Ratio
a:b is 1:9 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 7:63:72
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5.
Statistics
Find the mean, median and range of: 81, 55, 41, 23, 42, 64, 50, 20
Answer: Mean = 47, Median = 46, Range = 61
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1.
Number
Simplify: 2√250
Answer: 10√10
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2.
Algebra
Complete the square: x² + 11x + 1
Answer: (x + 11⁄2)² - 117⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 16cm, angle = 44°. Give your answer to 2 decimal places
Answer: 138.93cm²
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4.
Ratio
a:b is 9:7 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 81:63:35
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5.
Statistics
Find the mean, median and range of: 97, 28, 36, 92, 14, 31, 12, 82
Answer: Mean = 49, Median = 33.5, Range = 85