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Maths 1-4 #3

Who needs any of the numbers anyway?
Quiz by Curtainstore
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Last updated: December 30, 2022
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First submittedDecember 30, 2022
Times taken8
Average score53.3%
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1. Only one of its letters is a vowel.
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Two.
2. Add the two largest of the numbers below together, then subtract it from the sum of the two smallest.
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Biggest: 4 + 3 = 7, Smallest = 1 + 2 = 3. And 7 - 3 = 4
3. How many more vertices of a cube are there than its number of faces?
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8 corners of a cube, 6 faces.
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.
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24, 26, 28, are the only numbers that work.
5. The surface area of a cube is 24. What is its side length?
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6 faces, so each face has an area of 4, therefore side length of 2.
6. If I started at 128 and kept halving it, (not including 128) I would see this digit last.
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128 (not counting it) 64, 32 - so I have seen 4, 3 and 2 already. Next is 16, therefore saw 1 last.
7. This number is never the final digit of a prime number.
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1 -> 11, 2 -> 2, 3 -> 13. Number ending in 4 would be divisible by 2, so is never prime.
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?
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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.
9. The number of positive integer pairs of (a,b) that solve this equation: 8x + 3y = 26
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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.
10. Subtracted quadruple of this number from 8, yields the same result as if you divided it from 12 and changed the sign.
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For 3: 4 x 3 = 12, 8 - 12 = -4. 12/3 = 4. It works. (Interestingly, -1 will also work.)
11. The denominator of the result of one half subtract one sixth.
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You get: 1/2 - 1/6 = 3/6 - 1/6 = 2/6 = 1/3.
12. The eventual result if I added the digits of 9876, and did the same to its result.
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9+8+7+6=30 -> 3+0 = 3.
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
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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.
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?
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In the first room there are 3 handshakes, in the second room there are 6 handshakes.
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Maths 1-4
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