Change pack
Capstone
Jul 18 - 24
25 questions
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: 2x² - 16x + 4
Answer: 2(x - 4)² - 28
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3.
Geometry
Find area of triangle: a = 30cm, b = 28cm, angle = 49°. Give your answer to 2 decimal places
Answer: 316.98cm²
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4.
Ratio
a:b is 2:9 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 8:36:63
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5.
Statistics
Find the mean, median and range of: 76, 68, 18, 70, 53, 16, 21
Answer: Mean = 46, Median = 53, Range = 60
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1.
Number
Simplify: 3√150
Answer: 15√6
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2.
Algebra
Complete the square: x² - 9x - 3
Answer: (x - 9⁄2)² - 93⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 30cm, angle = 70°. Give your answer to 2 decimal places
Answer: 253.72cm²
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4.
Ratio
a:b is 8:5 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 64:40:15
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5.
Statistics
Find the mean, median and range of: 72, 35, 20, 98, 61, 80, 85. Give your answer to 2 decimal places
Answer: Mean = 64.43, Median = 72, Range = 78
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1.
Number
Simplify: √539
Answer: 7√11
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2.
Algebra
Complete the square: 2x² + 4x - 5
Answer: 2(x + 1)² - 7
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3.
Geometry
Find area of triangle: a = 29cm, b = 26cm, angle = 71°. Give your answer to 2 decimal places
Answer: 356.46cm²
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4.
Ratio
a:b is 5:7 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 40:56:35
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5.
Statistics
Find the mean, median and range of: 70, 17, 39, 41, 62, 95, 33, 71, 84. Give your answer to 2 decimal places
Answer: Mean = 56.89, Median = 62, Range = 78
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1.
Number
Simplify: √275
Answer: 5√11
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2.
Algebra
Complete the square: x² - x + 9
Answer: (x - 1⁄2)² + 35⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 30cm, angle = 75°. Give your answer to 2 decimal places
Answer: 202.84cm²
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4.
Ratio
a:b is 2:3 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 8:12:3
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5.
Statistics
Find the mean, median and range of: 94, 34, 11, 97, 33, 51, 29, 70. Give your answer to 2 decimal places
Answer: Mean = 52.38, Median = 42.5, Range = 86
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1.
Number
Simplify: 5√18
Answer: 15√2
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2.
Algebra
Complete the square: 4x² - 16x - 9
Answer: 4(x - 2)² - 25
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3.
Geometry
Find area of triangle: a = 30cm, b = 25cm, angle = 71°. Give your answer to 2 decimal places
Answer: 354.57cm²
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4.
Ratio
a:b is 3:4 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 15:20:16
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5.
Statistics
Find the mean, median and range of: 48, 27, 59, 19, 89, 10, 39. Give your answer to 2 decimal places
Answer: Mean = 41.57, Median = 39, Range = 79