Change pack
Capstone
Dec 28 - Jan 3
25 questions
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1.
Number
Simplify: √294
Answer: 7√6
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2.
Algebra
Complete the square: 3x² - 24x + 10
Answer: 3(x - 4)² - 38
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3.
Geometry
Find area of triangle: a = 25cm, b = 17cm, angle = 80°. Give your answer to 2 decimal places
Answer: 209.27cm²
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4.
Ratio
a:b is 9:8 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 45:40:16
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5.
Statistics
Find the mean, median and range of: 16, 94, 15, 66, 62, 70, 100, 15
Answer: Mean = 54.75, Median = 64, Range = 85
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1.
Number
Simplify: √720
Answer: 12√5
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2.
Algebra
Complete the square: 3x² - 6x + 8
Answer: 3(x - 1)² + 5
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3.
Geometry
Find area of triangle: a = 22cm, b = 27cm, angle = 60°. Give your answer to 2 decimal places
Answer: 257.21cm²
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4.
Ratio
a:b is 8:9 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 16:18:81
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5.
Statistics
Find the mean, median and range of: 88, 26, 11, 11, 16, 19, 11
Answer: Mean = 26, Median = 16, Range = 77
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1.
Number
Simplify: √704
Answer: 8√11
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2.
Algebra
Complete the square: 3x² + 36x - 2
Answer: 3(x + 6)² - 110
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3.
Geometry
Find area of triangle: a = 20cm, b = 12cm, angle = 73°. Give your answer to 2 decimal places
Answer: 114.76cm²
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4.
Ratio
a:b is 7:8 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 63:72:64
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5.
Statistics
Find the mean, median and range of: 61, 68, 78, 32, 60, 16, 36, 98, 53. Give your answer to 2 decimal places
Answer: Mean = 55.78, Median = 60, Range = 82
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1.
Number
Simplify: √243
Answer: 9√3
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2.
Algebra
Complete the square: 3x² + 24x + 11
Answer: 3(x + 4)² - 37
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3.
Geometry
Find area of triangle: a = 25cm, b = 23cm, angle = 74°. Give your answer to 2 decimal places
Answer: 276.36cm²
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4.
Ratio
a:b is 4:3 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 20:15:6
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5.
Statistics
Find the mean, median and range of: 99, 79, 66, 55, 64, 35, 37, 56, 63. Give your answer to 2 decimal places
Answer: Mean = 61.56, Median = 63, Range = 64
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1.
Number
Simplify: √108
Answer: 6√3
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2.
Algebra
Complete the square: 3x² + 36x - 13
Answer: 3(x + 6)² - 121
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3.
Geometry
Find area of triangle: a = 23cm, b = 17cm, angle = 49°. Give your answer to 2 decimal places
Answer: 147.55cm²
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4.
Ratio
a:b is 9:8 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 81:72:64
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5.
Statistics
Find the mean, median and range of: 95, 35, 69, 98, 44, 71, 48, 36, 97. Give your answer to 2 decimal places
Answer: Mean = 65.89, Median = 69, Range = 63