Change pack
Capstone
Jun 9 - 15
25 questions
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1.
Number
Simplify: √112
Answer: 4√7
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2.
Algebra
Complete the square: 3x² + 18x - 13
Answer: 3(x + 3)² - 40
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3.
Geometry
Find area of triangle: a = 14cm, b = 19cm, angle = 50°. Give your answer to 2 decimal places
Answer: 101.88cm²
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4.
Ratio
a:b is 8:9 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 56:63:36
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5.
Statistics
Find the mean, median and range of: 71, 70, 77, 25, 68, 64, 53, 17, 79. Give your answer to 2 decimal places
Answer: Mean = 58.22, Median = 68, Range = 62
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1.
Number
Simplify: √567
Answer: 9√7
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2.
Algebra
Complete the square: x² - 7x + 9
Answer: (x - 7⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 19cm, angle = 60°. Give your answer to 2 decimal places
Answer: 115.18cm²
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4.
Ratio
a:b is 1:5 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 4:20:25
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5.
Statistics
Find the mean, median and range of: 16, 99, 73, 92, 40, 82, 80, 97. Give your answer to 2 decimal places
Answer: Mean = 72.38, Median = 81, Range = 83
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1.
Number
Simplify: √891
Answer: 9√11
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2.
Algebra
Complete the square: x² + 5x + 8
Answer: (x + 5⁄2)² + 7⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 14cm, angle = 76°. Give your answer to 2 decimal places
Answer: 149.43cm²
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4.
Ratio
a:b is 7:2 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 49:14:4
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5.
Statistics
Find the mean, median and range of: 98, 43, 81, 53, 81, 18, 43. Give your answer to 2 decimal places
Answer: Mean = 59.57, Median = 53, Range = 80
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: x² + 11x - 6
Answer: (x + 11⁄2)² - 145⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 19cm, angle = 80°. Give your answer to 2 decimal places
Answer: 140.34cm²
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4.
Ratio
a:b is 1:4 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 7:28:8
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5.
Statistics
Find the mean, median and range of: 42, 84, 70, 33, 16, 35, 36, 62
Answer: Mean = 47.25, Median = 39, Range = 68
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1.
Number
Simplify: √612
Answer: 6√17
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2.
Algebra
Complete the square: 3x² + 36x - 2
Answer: 3(x + 6)² - 110
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3.
Geometry
Find area of triangle: a = 30cm, b = 24cm, angle = 55°. Give your answer to 2 decimal places
Answer: 294.89cm²
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4.
Ratio
a:b is 8:9 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 64:72:27
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5.
Statistics
Find the mean, median and range of: 63, 25, 56, 22, 71, 48, 69. Give your answer to 2 decimal places
Answer: Mean = 50.57, Median = 56, Range = 49