Change pack
Capstone
Jul 16 - 22
25 questions
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1.
Number
Simplify: √216
Answer: 6√6
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2.
Algebra
Complete the square: 5x² - 20x - 7
Answer: 5(x - 2)² - 27
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3.
Geometry
Find area of triangle: a = 26cm, b = 20cm, angle = 79°. Give your answer to 2 decimal places
Answer: 255.22cm²
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4.
Ratio
a:b is 7:8 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 63:72:32
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5.
Statistics
Find the mean, median and range of: 36, 68, 10, 35, 31, 91, 65
Answer: Mean = 48, Median = 36, Range = 81
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1.
Number
Simplify: √224
Answer: 4√14
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2.
Algebra
Complete the square: x² + 9x - 1
Answer: (x + 9⁄2)² - 85⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 27cm, angle = 69°. Give your answer to 2 decimal places
Answer: 277.27cm²
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4.
Ratio
a:b is 5:4 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 15:12:2
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5.
Statistics
Find the mean, median and range of: 26, 76, 51, 19, 40, 30, 79, 43
Answer: Mean = 45.5, Median = 41.5, Range = 60
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1.
Number
Simplify: √475
Answer: 5√19
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2.
Algebra
Complete the square: 2x² + 12x - 8
Answer: 2(x + 3)² - 26
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3.
Geometry
Find area of triangle: a = 25cm, b = 22cm, angle = 49°. Give your answer to 2 decimal places
Answer: 207.55cm²
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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: 65, 79, 18, 26, 85, 100, 68, 48. Give your answer to 2 decimal places
Answer: Mean = 61.13, Median = 66.5, Range = 82
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1.
Number
Simplify: √160
Answer: 4√10
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2.
Algebra
Complete the square: 3x² - 30x - 9
Answer: 3(x - 5)² - 84
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3.
Geometry
Find area of triangle: a = 20cm, b = 17cm, angle = 40°. Give your answer to 2 decimal places
Answer: 109.27cm²
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4.
Ratio
a:b is 2:3 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 14:21:9
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5.
Statistics
Find the mean, median and range of: 84, 99, 48, 23, 74, 86, 32, 34, 85. Give your answer to 2 decimal places
Answer: Mean = 62.78, Median = 74, Range = 76
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1.
Number
Simplify: √425
Answer: 5√17
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2.
Algebra
Complete the square: 5x² - 10x - 12
Answer: 5(x - 1)² - 17
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3.
Geometry
Find area of triangle: a = 19cm, b = 30cm, angle = 80°. Give your answer to 2 decimal places
Answer: 280.67cm²
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4.
Ratio
a:b is 5:7 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 40:56:7
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5.
Statistics
Find the mean, median and range of: 64, 18, 41, 51, 67, 74, 32, 22, 47. Give your answer to 2 decimal places
Answer: Mean = 46.22, Median = 47, Range = 56