Change pack
Capstone
Oct 20 - 26
25 questions
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1.
Number
Simplify: √931
Answer: 7√19
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2.
Algebra
Complete the square: 2x² - 12x - 7
Answer: 2(x - 3)² - 25
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3.
Geometry
Find area of triangle: a = 13cm, b = 19cm, angle = 56°. Give your answer to 2 decimal places
Answer: 102.39cm²
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4.
Ratio
a:b is 3:8 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 21:56:32
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5.
Statistics
Find the mean, median and range of: 67, 94, 29, 70, 90, 79, 10, 52, 61. Give your answer to 2 decimal places
Answer: Mean = 61.33, Median = 67, Range = 84
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1.
Number
Simplify: √425
Answer: 5√17
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2.
Algebra
Complete the square: x² - 9x + 4
Answer: (x - 9⁄2)² - 65⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 29cm, angle = 61°. Give your answer to 2 decimal places
Answer: 228.28cm²
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4.
Ratio
a:b is 3:8 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 15:40:56
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5.
Statistics
Find the mean, median and range of: 28, 59, 41, 100, 17, 65, 34, 93, 94
Answer: Mean = 59, Median = 59, Range = 83
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1.
Number
Simplify: √304
Answer: 4√19
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2.
Algebra
Complete the square: x² + 7x - 6
Answer: (x + 7⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 18cm, angle = 54°. Give your answer to 2 decimal places
Answer: 131.06cm²
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4.
Ratio
a:b is 3:4 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 21:28:32
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5.
Statistics
Find the mean, median and range of: 62, 57, 94, 13, 66, 91, 82, 98, 90. Give your answer to 2 decimal places
Answer: Mean = 72.56, Median = 82, Range = 85
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1.
Number
Simplify: √600
Answer: 10√6
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2.
Algebra
Complete the square: 4x² + 32x + 13
Answer: 4(x + 4)² - 51
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3.
Geometry
Find area of triangle: a = 14cm, b = 12cm, angle = 48°. Give your answer to 2 decimal places
Answer: 62.42cm²
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4.
Ratio
a:b is 6:5 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 54:45:35
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5.
Statistics
Find the mean, median and range of: 73, 42, 93, 61, 86, 50, 18. Give your answer to 2 decimal places
Answer: Mean = 60.43, Median = 61, Range = 75
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: 3x² + 12x + 11
Answer: 3(x + 2)² - 1
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3.
Geometry
Find area of triangle: a = 27cm, b = 17cm, angle = 77°. Give your answer to 2 decimal places
Answer: 223.62cm²
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4.
Ratio
a:b is 4:3 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 8:6:9
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5.
Statistics
Find the mean, median and range of: 39, 48, 59, 41, 18, 72, 84. Give your answer to 2 decimal places
Answer: Mean = 51.57, Median = 48, Range = 66