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Counting and Basic Probability · Question 6 of 65

Question 6

EasyOriginal question

A teacher asks her class to list every two-digit number whose tens digit and units digit are both even. How many numbers are on a complete list?

Options for question 6

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Tens digit: 2, 4, 6 or 8 (0 would not give a two-digit number), so 4 choices.

  2. Units digit: 0, 2, 4, 6 or 8, so 5 choices.

  3. Numbers =4×5=20= 4 \times 5 = 20.

Worth noting

25 is 5×55 \times 5, which lets the tens digit be 0. 40 checks only the tens digit, and 45 counts every even two-digit number, where only the units digit need be even.

Concept
Counting digits place by place
Typical time
40 s
Your time
—
The rule this testsThe counting principle
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