Change pack
Capstone
Apr 25 - May 1
25 questions
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1.
Number
Simplify: √208
Answer: 4√13
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2.
Algebra
Complete the square: 4x² - 8x - 3
Answer: 4(x - 1)² - 7
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3.
Geometry
Find area of triangle: a = 28cm, b = 17cm, angle = 74°. Give your answer to 2 decimal places
Answer: 228.78cm²
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4.
Ratio
a:b is 4:3 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 28:21:9
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5.
Statistics
Find the mean, median and range of: 70, 80, 47, 95, 68, 85, 80, 92. Give your answer to 2 decimal places
Answer: Mean = 77.13, Median = 80, Range = 48
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1.
Number
Simplify: 2√75
Answer: 10√3
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2.
Algebra
Complete the square: 2x² + 16x - 15
Answer: 2(x + 4)² - 47
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3.
Geometry
Find area of triangle: a = 18cm, b = 12cm, angle = 72°. Give your answer to 2 decimal places
Answer: 102.71cm²
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4.
Ratio
a:b is 1:9 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 7:63:18
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5.
Statistics
Find the mean, median and range of: 37, 92, 66, 83, 64, 63, 77, 71, 24. Give your answer to 2 decimal places
Answer: Mean = 64.11, Median = 66, Range = 68
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1.
Number
Simplify: √363
Answer: 11√3
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2.
Algebra
Complete the square: 4x² - 48x - 11
Answer: 4(x - 6)² - 155
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3.
Geometry
Find area of triangle: a = 25cm, b = 29cm, angle = 78°. Give your answer to 2 decimal places
Answer: 354.58cm²
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4.
Ratio
a:b is 5:6 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 25:30:54
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5.
Statistics
Find the mean, median and range of: 10, 63, 40, 98, 53, 74, 80, 51, 11. Give your answer to 2 decimal places
Answer: Mean = 53.33, Median = 53, Range = 88
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1.
Number
Simplify: √896
Answer: 8√14
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2.
Algebra
Complete the square: 3x² - 6x + 12
Answer: 3(x - 1)² + 9
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3.
Geometry
Find area of triangle: a = 27cm, b = 14cm, angle = 47°. Give your answer to 2 decimal places
Answer: 138.23cm²
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4.
Ratio
a:b is 8:5 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 16:10:15
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5.
Statistics
Find the mean, median and range of: 42, 88, 43, 13, 44, 19, 20. Give your answer to 2 decimal places
Answer: Mean = 38.43, Median = 42, Range = 75
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1.
Number
Simplify: √475
Answer: 5√19
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2.
Algebra
Complete the square: 3x² - 6x - 2
Answer: 3(x - 1)² - 5
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3.
Geometry
Find area of triangle: a = 25cm, b = 24cm, angle = 53°. Give your answer to 2 decimal places
Answer: 239.59cm²
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4.
Ratio
a:b is 5:4 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 15:12:32
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5.
Statistics
Find the mean, median and range of: 50, 17, 67, 28, 50, 37, 46. Give your answer to 2 decimal places
Answer: Mean = 42.14, Median = 46, Range = 50