Change pack
Capstone
Jun 21 - 27
25 questions
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1.
Number
Simplify: √150
Answer: 5√6
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2.
Algebra
Complete the square: x² + 7x + 9
Answer: (x + 7⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 24cm, angle = 73°. Give your answer to 2 decimal places
Answer: 240.99cm²
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4.
Ratio
a:b is 7:9 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 49:63:9
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5.
Statistics
Find the mean, median and range of: 87, 43, 78, 48, 75, 52, 15, 56, 57. Give your answer to 2 decimal places
Answer: Mean = 56.78, Median = 56, Range = 72
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1.
Number
Simplify: 3√275
Answer: 15√11
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2.
Algebra
Complete the square: x² + 9x + 4
Answer: (x + 9⁄2)² - 65⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 14cm, angle = 42°. Give your answer to 2 decimal places
Answer: 88.99cm²
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4.
Ratio
a:b is 4:5 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 36:45:35
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5.
Statistics
Find the mean, median and range of: 100, 76, 72, 45, 76, 27, 23, 87, 63. Give your answer to 2 decimal places
Answer: Mean = 63.22, Median = 72, Range = 77
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1.
Number
Simplify: √275
Answer: 5√11
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2.
Algebra
Complete the square: x² + 9x + 10
Answer: (x + 9⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 20cm, angle = 76°. Give your answer to 2 decimal places
Answer: 261.98cm²
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4.
Ratio
a:b is 4:7 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 32:56:21
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5.
Statistics
Find the mean, median and range of: 35, 96, 46, 67, 18, 81, 46. Give your answer to 2 decimal places
Answer: Mean = 55.57, Median = 46, Range = 78
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1.
Number
Simplify: √640
Answer: 8√10
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2.
Algebra
Complete the square: x² - x + 2
Answer: (x - 1⁄2)² + 7⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 19cm, angle = 69°. Give your answer to 2 decimal places
Answer: 115.3cm²
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4.
Ratio
a:b is 1:4 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 5:20:8
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5.
Statistics
Find the mean, median and range of: 21, 45, 27, 35, 62, 78, 83, 39, 46. Give your answer to 2 decimal places
Answer: Mean = 48.44, Median = 45, Range = 62
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1.
Number
Simplify: √720
Answer: 12√5
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2.
Algebra
Complete the square: 3x² - 12x + 3
Answer: 3(x - 2)² - 9
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3.
Geometry
Find area of triangle: a = 20cm, b = 18cm, angle = 57°. Give your answer to 2 decimal places
Answer: 150.96cm²
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4.
Ratio
a:b is 2:7 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 6:21:28
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5.
Statistics
Find the mean, median and range of: 39, 33, 66, 32, 32, 50, 40, 72
Answer: Mean = 45.5, Median = 39.5, Range = 40