Change pack
Capstone
Mar 27 - Apr 2
25 questions
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1.
Number
Simplify: √550
Answer: 5√22
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2.
Algebra
Complete the square: x² + 11x + 5
Answer: (x + 11⁄2)² - 101⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 27cm, angle = 59°. Give your answer to 2 decimal places
Answer: 324.01cm²
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4.
Ratio
a:b is 9:7 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 45:35:7
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5.
Statistics
Find the mean, median and range of: 69, 91, 87, 64, 79, 82, 58, 34
Answer: Mean = 70.5, Median = 74, Range = 57
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1.
Number
Simplify: √810
Answer: 9√10
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2.
Algebra
Complete the square: 4x² - 8x - 11
Answer: 4(x - 1)² - 15
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3.
Geometry
Find area of triangle: a = 16cm, b = 22cm, angle = 46°. Give your answer to 2 decimal places
Answer: 126.6cm²
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4.
Ratio
a:b is 1:9 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 4:36:81
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5.
Statistics
Find the mean, median and range of: 48, 89, 80, 93, 39, 45, 73, 15, 49
Answer: Mean = 59, Median = 49, Range = 78
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1.
Number
Simplify: 4√45
Answer: 12√5
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2.
Algebra
Complete the square: 3x² + 30x - 8
Answer: 3(x + 5)² - 83
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3.
Geometry
Find area of triangle: a = 24cm, b = 29cm, angle = 73°. Give your answer to 2 decimal places
Answer: 332.79cm²
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4.
Ratio
a:b is 8:3 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 64:24:3
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5.
Statistics
Find the mean, median and range of: 82, 63, 98, 49, 67, 97, 36, 16
Answer: Mean = 63.5, Median = 65, Range = 82
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1.
Number
Simplify: √336
Answer: 4√21
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2.
Algebra
Complete the square: 5x² - 10x + 9
Answer: 5(x - 1)² + 4
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3.
Geometry
Find area of triangle: a = 18cm, b = 18cm, angle = 47°. Give your answer to 2 decimal places
Answer: 118.48cm²
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4.
Ratio
a:b is 1:3 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 2:6:15
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5.
Statistics
Find the mean, median and range of: 68, 14, 47, 15, 86, 31, 94, 95, 53. Give your answer to 2 decimal places
Answer: Mean = 55.89, Median = 53, Range = 81
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1.
Number
Simplify: √684
Answer: 6√19
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2.
Algebra
Complete the square: x² + x - 11
Answer: (x + 1⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 13cm, angle = 67°. Give your answer to 2 decimal places
Answer: 83.77cm²
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4.
Ratio
a:b is 9:7 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 72:56:49
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5.
Statistics
Find the mean, median and range of: 57, 81, 62, 38, 25, 67, 33. Give your answer to 2 decimal places
Answer: Mean = 51.86, Median = 57, Range = 56