Change pack
Capstone
Apr 20 - 26
25 questions
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1.
Number
Simplify: √637
Answer: 7√13
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2.
Algebra
Complete the square: x² + x - 7
Answer: (x + 1⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 30cm, angle = 65°. Give your answer to 2 decimal places
Answer: 258.3cm²
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4.
Ratio
a:b is 2:5 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 4:10:45
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5.
Statistics
Find the mean, median and range of: 97, 37, 51, 25, 82, 96, 35, 48. Give your answer to 2 decimal places
Answer: Mean = 58.88, Median = 49.5, Range = 72
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1.
Number
Simplify: √833
Answer: 7√17
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2.
Algebra
Complete the square: 5x² - 40x - 11
Answer: 5(x - 4)² - 91
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3.
Geometry
Find area of triangle: a = 26cm, b = 16cm, angle = 42°. Give your answer to 2 decimal places
Answer: 139.18cm²
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4.
Ratio
a:b is 7:9 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 56:72:45
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5.
Statistics
Find the mean, median and range of: 20, 99, 14, 98, 23, 45, 59, 83, 88. Give your answer to 2 decimal places
Answer: Mean = 58.78, Median = 59, Range = 85
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1.
Number
Simplify: √896
Answer: 8√14
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2.
Algebra
Complete the square: x² + 5x - 9
Answer: (x + 5⁄2)² - 61⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 19cm, angle = 56°. Give your answer to 2 decimal places
Answer: 196.9cm²
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4.
Ratio
a:b is 5:7 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 40:56:35
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5.
Statistics
Find the mean, median and range of: 11, 41, 18, 69, 77, 54, 80, 93. Give your answer to 2 decimal places
Answer: Mean = 55.38, Median = 61.5, Range = 82
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1.
Number
Simplify: √175
Answer: 5√7
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2.
Algebra
Complete the square: x² + 9x + 9
Answer: (x + 9⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 15cm, angle = 76°. Give your answer to 2 decimal places
Answer: 130.99cm²
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4.
Ratio
a:b is 9:2 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 81:18:14
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5.
Statistics
Find the mean, median and range of: 90, 100, 18, 79, 57, 99, 77, 67, 85. Give your answer to 2 decimal places
Answer: Mean = 74.67, Median = 79, Range = 82
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1.
Number
Simplify: 5√80
Answer: 20√5
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2.
Algebra
Complete the square: x² - x - 1
Answer: (x - 1⁄2)² - 5⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 20cm, angle = 51°. Give your answer to 2 decimal places
Answer: 163.2cm²
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4.
Ratio
a:b is 1:3 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 5:15:18
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5.
Statistics
Find the mean, median and range of: 17, 92, 20, 75, 23, 67, 63
Answer: Mean = 51, Median = 63, Range = 75