Short Quiz

Question 1 of 5

Which rule does not give a fixed final value for every starting number \(x\)?

A Multiply by 4, add 20, divide by 4, subtract \(x\). B Multiply by 3, subtract 9, divide by 3, subtract \(x\). C Add 4, double, then subtract \(x\). D Double, add 6, subtract \(2x\).

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Question 2 of 5

The top of a three-row pyramid is 40. The two outer bottom numbers have sum 14. What is the middle bottom number?

40

??

abc

Given: a + c = 14

A 10 B 12 C 13 D 14

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Question 3 of 5

Which number cannot be the sum of a complete \(2\times2\) calendar grid?

aa+1

a+7a+8

Which proposed sum is impossible?

A 44 B 68 C 92 D 70

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Question 4 of 5

An L-shaped calendar selection contains \(a,a+1,a+7\). Its sum is 47. Which dates were selected?

aa+1

a+7

Sum = 47

A 12, 13, 19 B 14, 15, 21 C 13, 14, 20 D 11, 12, 18

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Question 5 of 5

Let \(p<q<r\) be positive digits. Why is \(qp\times r\) greater than \(rp\times q\)?

A Their tens-place contributions differ by \(10p\). B Because \(q+r>p\). C Because the larger two-digit number must give the larger product. D Both have tens contribution \(10qr\), but their remaining terms are \(pr\) and \(pq\), and \(pr>pq\).

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