Change pack
Capstone
Dec 31 - Jan 6
25 questions
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1.
Number
Simplify: √475
Answer: 5√19
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2.
Algebra
Complete the square: x² + 7x + 4
Answer: (x + 7⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 21cm, angle = 53°. Give your answer to 2 decimal places
Answer: 125.79cm²
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4.
Ratio
a:b is 6:5 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 12:10:25
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5.
Statistics
Find the mean, median and range of: 50, 13, 19, 55, 56, 88, 60, 34, 71. Give your answer to 2 decimal places
Answer: Mean = 49.56, Median = 55, Range = 75
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1.
Number
Simplify: √245
Answer: 7√5
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2.
Algebra
Complete the square: 4x² - 24x + 1
Answer: 4(x - 3)² - 35
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3.
Geometry
Find area of triangle: a = 25cm, b = 14cm, angle = 74°. Give your answer to 2 decimal places
Answer: 168.22cm²
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4.
Ratio
a:b is 5:3 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 10:6:9
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5.
Statistics
Find the mean, median and range of: 98, 23, 71, 94, 35, 58, 96. Give your answer to 2 decimal places
Answer: Mean = 67.86, Median = 71, Range = 75
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1.
Number
Simplify: √686
Answer: 7√14
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2.
Algebra
Complete the square: 2x² + 8x + 1
Answer: 2(x + 2)² - 7
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3.
Geometry
Find area of triangle: a = 30cm, b = 22cm, angle = 67°. Give your answer to 2 decimal places
Answer: 303.77cm²
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4.
Ratio
a:b is 6:7 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 54:63:28
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5.
Statistics
Find the mean, median and range of: 68, 41, 34, 65, 25, 67, 74, 49, 19. Give your answer to 2 decimal places
Answer: Mean = 49.11, Median = 49, Range = 55
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1.
Number
Simplify: √735
Answer: 7√15
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2.
Algebra
Complete the square: 4x² - 48x - 2
Answer: 4(x - 6)² - 146
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3.
Geometry
Find area of triangle: a = 18cm, b = 15cm, angle = 51°. Give your answer to 2 decimal places
Answer: 104.91cm²
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4.
Ratio
a:b is 1:3 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 7:21:27
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5.
Statistics
Find the mean, median and range of: 25, 36, 56, 35, 65, 71, 34, 54, 65
Answer: Mean = 49, Median = 54, Range = 46
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1.
Number
Simplify: 4√160
Answer: 16√10
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2.
Algebra
Complete the square: x² + 5x - 12
Answer: (x + 5⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 17cm, angle = 45°. Give your answer to 2 decimal places
Answer: 90.16cm²
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4.
Ratio
a:b is 1:4 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 3:12:28
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5.
Statistics
Find the mean, median and range of: 97, 37, 92, 86, 26, 73, 92, 51
Answer: Mean = 69.25, Median = 79.5, Range = 71