Change pack
Capstone
Mar 16 - 22
25 questions
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1.
Number
Simplify: √275
Answer: 5√11
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2.
Algebra
Complete the square: x² - 11x + 4
Answer: (x - 11⁄2)² - 105⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 27cm, angle = 46°. Give your answer to 2 decimal places
Answer: 213.64cm²
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4.
Ratio
a:b is 6:5 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 12:10:15
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5.
Statistics
Find the mean, median and range of: 13, 35, 95, 35, 93, 10, 37, 72, 71. Give your answer to 2 decimal places
Answer: Mean = 51.22, Median = 37, Range = 85
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1.
Number
Simplify: 3√40
Answer: 6√10
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2.
Algebra
Complete the square: x² + 3x + 5
Answer: (x + 3⁄2)² + 11⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 21cm, angle = 64°. Give your answer to 2 decimal places
Answer: 235.93cm²
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4.
Ratio
a:b is 5:4 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 25:20:16
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5.
Statistics
Find the mean, median and range of: 62, 52, 36, 71, 59, 62, 55, 21
Answer: Mean = 52.25, Median = 57, Range = 50
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1.
Number
Simplify: √810
Answer: 9√10
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2.
Algebra
Complete the square: x² - 11x - 4
Answer: (x - 11⁄2)² - 137⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 20cm, angle = 76°. Give your answer to 2 decimal places
Answer: 281.39cm²
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4.
Ratio
a:b is 8:7 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 24:21:14
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5.
Statistics
Find the mean, median and range of: 25, 79, 93, 13, 39, 22, 24. Give your answer to 2 decimal places
Answer: Mean = 42.14, Median = 25, Range = 80
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1.
Number
Simplify: √128
Answer: 8√2
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2.
Algebra
Complete the square: 5x² - 60x + 11
Answer: 5(x - 6)² - 169
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3.
Geometry
Find area of triangle: a = 12cm, b = 30cm, angle = 69°. Give your answer to 2 decimal places
Answer: 168.04cm²
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4.
Ratio
a:b is 1:5 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 3:15:40
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5.
Statistics
Find the mean, median and range of: 22, 77, 91, 67, 76, 88, 49. Give your answer to 2 decimal places
Answer: Mean = 67.14, Median = 76, Range = 69
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1.
Number
Simplify: √48
Answer: 4√3
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2.
Algebra
Complete the square: 3x² + 18x + 12
Answer: 3(x + 3)² - 15
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3.
Geometry
Find area of triangle: a = 23cm, b = 21cm, angle = 79°. Give your answer to 2 decimal places
Answer: 237.06cm²
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4.
Ratio
a:b is 1:4 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 3:12:32
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5.
Statistics
Find the mean, median and range of: 88, 52, 28, 62, 20, 64, 44, 70, 91. Give your answer to 2 decimal places
Answer: Mean = 57.67, Median = 62, Range = 71