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Maths 1-4 #3
Who needs any of the numbers anyway?
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Last updated: December 30, 2022
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| First submitted | December 30, 2022 |
| Times taken | 17 |
| Average score | 46.7% | Report this quiz | Report |
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1. Only one of its letters is a vowel.
Two.
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2. Add the two largest of the numbers below together, then subtract it from the sum of the two smallest.
Biggest: 4 + 3 = 7, Smallest = 1 + 2 = 3. And 7 - 3 = 4
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3. How many more vertices of a cube are there than its number of faces?
8 corners of a cube, 6 faces.
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4. How many numbers satisfy the following conditions:
i. Between 23 and 33, ii. Even, iii. Makes a bigger number when the digits are reversed.
24, 26, 28, are the only numbers that work.
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5. The surface area of a cube is 24. What is its side length?
6 faces, so each face has an area of 4, therefore side length of 2.
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6. If I started at 128 and kept halving it, (not including 128) I would see this digit last.
128 (not counting it) 64, 32 - so I have seen 4, 3 and 2 already. Next is 16, therefore saw 1 last.
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7. This number is never the final digit of a prime number.
1 -> 11, 2 -> 2, 3 -> 13. Number ending in 4 would be divisible by 2, so is never prime.
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8. Barry says that Harry is wrong. Carrie says that two people are wrong. Gary says that Barry is right. Harry says that Carrie is wrong. How many people are correct?
T (true), F (false). If B = T -> G = T and H = F -> C = T, but this is a contradiction, because Carrie is not right. So: B = F -> H = T -> C = F and G = F, so only 1 person is correct, Harry.
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9. The number of positive integer pairs of (a,b) that solve this equation: 8x + 3y = 26
Only x = 1, y = 6 works. Next integer x that works is 4, but then y = -2, and if x is any lower it is no longer positive.
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10. Subtracted quadruple of this number from 8, yields the same result as if you divided it from 12 and changed the sign.
For 3: 4 x 3 = 12, 8 - 12 = -4. 12/3 = 4. It works. (Interestingly, -1 will also work.)
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11. The denominator of the result of one half subtract one sixth.
You get: 1/2 - 1/6 = 3/6 - 1/6 = 2/6 = 1/3.
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12. The eventual result if I added the digits of 9876, and did the same to its result.
9+8+7+6=30 -> 3+0 = 3.
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13. How many people are in a room when you're in a room alone.
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14. The final digit of 7^7
Hint: Do the calculation, but just look at the last digit. You get a loop of 7, 9, 3, 1, so if you continue this you land back at 3.
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15. One room has 3 people in it, everyone shakes hands with each person once. A second room has 4 people in it, everyone shakes hands with each person in that room. How many more handshakes happened in total in the second room?
In the first room there are 3 handshakes, in the second room there are 6 handshakes.
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Maths 1-4