Change pack
Capstone
Jun 16 - 22
25 questions
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1.
Number
Simplify: √792
Answer: 6√22
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2.
Algebra
Complete the square: x² + x - 11
Answer: (x + 1⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 28cm, angle = 63°. Give your answer to 2 decimal places
Answer: 199.59cm²
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4.
Ratio
a:b is 5:9 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 40:72:27
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5.
Statistics
Find the mean, median and range of: 11, 18, 26, 73, 53, 22, 83. Give your answer to 2 decimal places
Answer: Mean = 40.86, Median = 26, Range = 72
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1.
Number
Simplify: 5√176
Answer: 20√11
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2.
Algebra
Complete the square: x² + 3x
Answer: (x + 3⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 26cm, angle = 52°. Give your answer to 2 decimal places
Answer: 215.13cm²
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4.
Ratio
a:b is 8:9 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 40:45:54
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5.
Statistics
Find the mean, median and range of: 76, 36, 94, 83, 85, 27, 41, 25. Give your answer to 2 decimal places
Answer: Mean = 58.38, Median = 58.5, Range = 69
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1.
Number
Simplify: √637
Answer: 7√13
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2.
Algebra
Complete the square: x² - 9x - 2
Answer: (x - 9⁄2)² - 89⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 17cm, angle = 66°. Give your answer to 2 decimal places
Answer: 116.48cm²
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4.
Ratio
a:b is 9:7 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 36:28:35
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5.
Statistics
Find the mean, median and range of: 21, 36, 12, 95, 34, 100, 18, 42, 92
Answer: Mean = 50, Median = 36, Range = 88
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1.
Number
Simplify: 5√45
Answer: 15√5
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2.
Algebra
Complete the square: 3x² - 24x + 1
Answer: 3(x - 4)² - 47
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3.
Geometry
Find area of triangle: a = 24cm, b = 21cm, angle = 57°. Give your answer to 2 decimal places
Answer: 211.34cm²
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4.
Ratio
a:b is 4:5 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 12:15:10
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5.
Statistics
Find the mean, median and range of: 88, 75, 74, 13, 91, 89, 39, 79, 70. Give your answer to 2 decimal places
Answer: Mean = 68.67, Median = 75, Range = 78
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1.
Number
Simplify: √500
Answer: 10√5
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2.
Algebra
Complete the square: x² - 3x + 1
Answer: (x - 3⁄2)² - 5⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 14cm, angle = 45°. Give your answer to 2 decimal places
Answer: 128.69cm²
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4.
Ratio
a:b is 2:9 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 10:45:63
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5.
Statistics
Find the mean, median and range of: 51, 88, 77, 16, 87, 10, 14, 25, 35. Give your answer to 2 decimal places
Answer: Mean = 44.78, Median = 35, Range = 78