Change pack
Capstone
Jun 23 - 29
25 questions
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1.
Number
Simplify: √540
Answer: 6√15
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2.
Algebra
Complete the square: 4x² - 24x - 5
Answer: 4(x - 3)² - 41
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3.
Geometry
Find area of triangle: a = 12cm, b = 22cm, angle = 74°. Give your answer to 2 decimal places
Answer: 126.89cm²
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4.
Ratio
a:b is 9:7 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 54:42:35
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5.
Statistics
Find the mean, median and range of: 99, 53, 53, 17, 57, 34, 80, 80. Give your answer to 2 decimal places
Answer: Mean = 59.13, Median = 55, Range = 82
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1.
Number
Simplify: 3√20
Answer: 6√5
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2.
Algebra
Complete the square: 2x² - 20x + 8
Answer: 2(x - 5)² - 42
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3.
Geometry
Find area of triangle: a = 16cm, b = 27cm, angle = 49°. Give your answer to 2 decimal places
Answer: 163.02cm²
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4.
Ratio
a:b is 7:5 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 49:35:40
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5.
Statistics
Find the mean, median and range of: 70, 11, 98, 50, 51, 66, 41, 56. Give your answer to 2 decimal places
Answer: Mean = 55.38, Median = 53.5, Range = 87
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1.
Number
Simplify: 2√45
Answer: 6√5
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2.
Algebra
Complete the square: 2x² - 8x - 13
Answer: 2(x - 2)² - 21
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3.
Geometry
Find area of triangle: a = 16cm, b = 26cm, angle = 64°. Give your answer to 2 decimal places
Answer: 186.95cm²
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4.
Ratio
a:b is 5:3 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 35:21:12
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5.
Statistics
Find the mean, median and range of: 24, 47, 62, 72, 69, 95, 97. Give your answer to 2 decimal places
Answer: Mean = 66.57, Median = 69, Range = 73
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1.
Number
Simplify: √294
Answer: 7√6
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2.
Algebra
Complete the square: 3x² + 12x + 14
Answer: 3(x + 2)² + 2
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3.
Geometry
Find area of triangle: a = 29cm, b = 20cm, angle = 69°. Give your answer to 2 decimal places
Answer: 270.74cm²
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4.
Ratio
a:b is 6:5 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 54:45:10
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5.
Statistics
Find the mean, median and range of: 42, 26, 70, 22, 51, 33, 64, 38
Answer: Mean = 43.25, Median = 40, Range = 48
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1.
Number
Simplify: √320
Answer: 8√5
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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 = 25cm, b = 16cm, angle = 79°. Give your answer to 2 decimal places
Answer: 196.33cm²
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4.
Ratio
a:b is 2:5 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 16:40:35
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5.
Statistics
Find the mean, median and range of: 71, 88, 46, 11, 70, 86, 34
Answer: Mean = 58, Median = 70, Range = 77