Change pack
Capstone
Jun 2 - 8
25 questions
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1.
Number
Simplify: √72
Answer: 6√2
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2.
Algebra
Complete the square: 2x² - 4x - 2
Answer: 2(x - 1)² - 4
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3.
Geometry
Find area of triangle: a = 24cm, b = 12cm, angle = 48°. Give your answer to 2 decimal places
Answer: 107.01cm²
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4.
Ratio
a:b is 4:9 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 8:18:3
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5.
Statistics
Find the mean, median and range of: 88, 99, 13, 46, 80, 79, 67, 54, 80. Give your answer to 2 decimal places
Answer: Mean = 67.33, Median = 79, Range = 86
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1.
Number
Simplify: √960
Answer: 8√15
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2.
Algebra
Complete the square: 3x² + 30x - 5
Answer: 3(x + 5)² - 80
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3.
Geometry
Find area of triangle: a = 17cm, b = 24cm, angle = 69°. Give your answer to 2 decimal places
Answer: 190.45cm²
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4.
Ratio
a:b is 7:2 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 63:18:8
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5.
Statistics
Find the mean, median and range of: 95, 42, 64, 41, 15, 55, 35. Give your answer to 2 decimal places
Answer: Mean = 49.57, Median = 42, Range = 80
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: x² - 11x + 1
Answer: (x - 11⁄2)² - 117⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 16cm, angle = 72°. Give your answer to 2 decimal places
Answer: 174.99cm²
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4.
Ratio
a:b is 5:6 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 35:42:48
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5.
Statistics
Find the mean, median and range of: 28, 78, 98, 47, 24, 56, 78. Give your answer to 2 decimal places
Answer: Mean = 58.43, Median = 56, Range = 74
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1.
Number
Simplify: √847
Answer: 11√7
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2.
Algebra
Complete the square: 2x² - 4x + 6
Answer: 2(x - 1)² + 4
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3.
Geometry
Find area of triangle: a = 18cm, b = 24cm, angle = 54°. Give your answer to 2 decimal places
Answer: 174.75cm²
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4.
Ratio
a:b is 7:6 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 14:12:9
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5.
Statistics
Find the mean, median and range of: 96, 84, 79, 72, 25, 87, 18, 68, 84. Give your answer to 2 decimal places
Answer: Mean = 68.11, Median = 79, Range = 78
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1.
Number
Simplify: √637
Answer: 7√13
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2.
Algebra
Complete the square: x² + 11x
Answer: (x + 11⁄2)² - 121⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 12cm, angle = 72°. Give your answer to 2 decimal places
Answer: 159.78cm²
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4.
Ratio
a:b is 7:5 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 56:40:15
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5.
Statistics
Find the mean, median and range of: 53, 49, 15, 31, 66, 43, 68, 17, 85. Give your answer to 2 decimal places
Answer: Mean = 47.44, Median = 49, Range = 70