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oLahav

oLahav’s Tests

Math SATs- Sets, Ratios, Modules and Other Subjects

A test by Oren Lahav.

Test Questions
  1. Question
    Say the remainder of x when divided by 6 is 2. Which of these cannot be a value for x?
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  2. Question
    Find the number of numbers between 1 and 10 that are either divisible by 7, or odd, or both.
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  3. Question
    I'm having 32 cookies for lunch. 16 of my cookies have nuts in them, while 12 have berries. 6 have both nuts and berries. How many have neither nuts nor berries?
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  4. Question
    I have a rectangle, and the ratio of width to length is 2:3. If the perimeter of my rectangle is 30, what's the area?
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  5. Question
    I have 20 blue boxes, and the ratio of my green to blue boxes is 2:1. If I choose a box randomly, what's the probability of choosing a blue box?
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  6. Question
    The ratio of a right-angled triangle's two perpendicular sides is 3:4. If the big side of the triangle is 15, what's the area of my triangle?
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  7. Question
    I have 70 flowers. The ratio of white to yellow flowers is 3:4. Also, 30 flowers in total have red spots on them, and 20 are yellow with red spots. How many white flowers have no red spots on them?
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  8. Question
    x is 7 in mod 12, y is 5 in mod 12 and z is 1 mod 12. What's the value of 2x+(y^2)z in mod 12?
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