Change pack
Capstone
Jan 21 - 27
25 questions
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1.
Number
Simplify: 2√160
Answer: 8√10
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2.
Algebra
Complete the square: x² - 9x - 5
Answer: (x - 9⁄2)² - 101⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 13cm, angle = 76°. Give your answer to 2 decimal places
Answer: 126.14cm²
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4.
Ratio
a:b is 6:7 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 54:63:49
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5.
Statistics
Find the mean, median and range of: 70, 65, 23, 53, 63, 56, 95. Give your answer to 2 decimal places
Answer: Mean = 60.71, Median = 63, Range = 72
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1.
Number
Simplify: √425
Answer: 5√17
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2.
Algebra
Complete the square: x² + 5x + 9
Answer: (x + 5⁄2)² + 11⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 22cm, angle = 55°. Give your answer to 2 decimal places
Answer: 108.13cm²
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4.
Ratio
a:b is 4:9 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 16:36:27
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5.
Statistics
Find the mean, median and range of: 21, 22, 67, 74, 62, 65, 94, 75
Answer: Mean = 60, Median = 66, Range = 73
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1.
Number
Simplify: 5√160
Answer: 20√10
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2.
Algebra
Complete the square: 4x² - 16x - 1
Answer: 4(x - 2)² - 17
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3.
Geometry
Find area of triangle: a = 24cm, b = 26cm, angle = 44°. Give your answer to 2 decimal places
Answer: 216.73cm²
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4.
Ratio
a:b is 7:4 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 49:28:12
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5.
Statistics
Find the mean, median and range of: 25, 64, 64, 45, 60, 93, 67, 86, 79. Give your answer to 2 decimal places
Answer: Mean = 64.78, Median = 64, Range = 68
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1.
Number
Simplify: √833
Answer: 7√17
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2.
Algebra
Complete the square: 4x² + 32x - 11
Answer: 4(x + 4)² - 75
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3.
Geometry
Find area of triangle: a = 24cm, b = 19cm, angle = 55°. Give your answer to 2 decimal places
Answer: 186.77cm²
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4.
Ratio
a:b is 8:9 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 56:63:36
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5.
Statistics
Find the mean, median and range of: 35, 16, 96, 71, 32, 30, 89, 32. Give your answer to 2 decimal places
Answer: Mean = 50.13, Median = 33.5, Range = 80
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1.
Number
Simplify: √735
Answer: 7√15
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2.
Algebra
Complete the square: x² + x - 10
Answer: (x + 1⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 24cm, angle = 44°. Give your answer to 2 decimal places
Answer: 225.07cm²
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4.
Ratio
a:b is 2:5 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 14:35:30
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5.
Statistics
Find the mean, median and range of: 38, 22, 48, 88, 98, 73, 69, 52, 52
Answer: Mean = 60, Median = 52, Range = 76