Change pack
Capstone
Aug 7 - 13
25 questions
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: x² - 3x + 9
Answer: (x - 3⁄2)² + 27⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 24cm, angle = 55°. Give your answer to 2 decimal places
Answer: 176.94cm²
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4.
Ratio
a:b is 3:5 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 9:15:20
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5.
Statistics
Find the mean, median and range of: 71, 84, 32, 56, 86, 79, 81. Give your answer to 2 decimal places
Answer: Mean = 69.86, Median = 79, Range = 54
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1.
Number
Simplify: 3√99
Answer: 9√11
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2.
Algebra
Complete the square: x² + 9x + 7
Answer: (x + 9⁄2)² - 53⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 15cm, angle = 42°. Give your answer to 2 decimal places
Answer: 80.3cm²
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4.
Ratio
a:b is 3:7 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 6:14:21
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5.
Statistics
Find the mean, median and range of: 62, 30, 93, 78, 62, 80, 62, 35, 32. Give your answer to 2 decimal places
Answer: Mean = 59.33, Median = 62, Range = 63
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1.
Number
Simplify: √810
Answer: 9√10
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2.
Algebra
Complete the square: 4x² - 8x - 8
Answer: 4(x - 1)² - 12
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3.
Geometry
Find area of triangle: a = 21cm, b = 15cm, angle = 43°. Give your answer to 2 decimal places
Answer: 107.41cm²
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4.
Ratio
a:b is 8:3 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 40:15:6
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5.
Statistics
Find the mean, median and range of: 92, 74, 77, 34, 90, 42, 89. Give your answer to 2 decimal places
Answer: Mean = 71.14, Median = 77, Range = 58
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1.
Number
Simplify: 2√12
Answer: 4√3
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2.
Algebra
Complete the square: x² + 9x - 8
Answer: (x + 9⁄2)² - 113⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 12cm, angle = 71°. Give your answer to 2 decimal places
Answer: 113.46cm²
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4.
Ratio
a:b is 7:4 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 49:28:36
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5.
Statistics
Find the mean, median and range of: 74, 38, 56, 72, 23, 38, 77
Answer: Mean = 54, Median = 56, Range = 54
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1.
Number
Simplify: √833
Answer: 7√17
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2.
Algebra
Complete the square: x² - x - 12
Answer: (x - 1⁄2)² - 49⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 23cm, angle = 62°. Give your answer to 2 decimal places
Answer: 152.31cm²
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4.
Ratio
a:b is 8:9 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 32:36:63
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5.
Statistics
Find the mean, median and range of: 93, 95, 38, 65, 78, 93, 74, 53, 12. Give your answer to 2 decimal places
Answer: Mean = 66.78, Median = 74, Range = 83