Math Test #1: Multiple Choice - Number Sense and Numeration

Here are the step-by-step solutions for each problem on the page.

Question 12: Which pair of numbers has the sum of 60?
To find the correct pair, we need to add the two numbers in each option together to see which ones equal 60.
* $19 + 26 = 45$ (Too low)
* $49 + 11 = 60$ (Correct!)
* $11 + 42 = 53$ (Too low)
* $13 + 38 = 51$ (Too low)

Question 13: What values do the 3 and 8 represent in the number 3468?
We look at the place value of each digit:
* The 3 is in the thousands place, so it represents 3 thousands.
* The 4 is in the hundreds place.
* The 6 is in the tens place.
* The 8 is in the ones place, so it represents 8 ones.

Question 14: Which pair of numbers have a difference of $2.00?
"Difference" means we subtract the smaller number from the larger number. We are looking for an answer of exactly 2.
* $\$1.50 - \$0.50 = \$1.00$
* $\$6.50 - \$3.00 = \$3.50$
* $\$6.50 - \$3.50 = \$3.00$
* $\$6.50 - \$4.50 = \$2.00$ (Correct!)

Question 15: Which number sentence correctly describes the following group of soccer balls?
First, count the total number of soccer balls. There are 2 rows with 8 balls in each row.
Total balls = $8 + 8 = 16$.
Now look at the options:
* $16 \div 4 = 4$ (This implies 4 groups of 4, but we have 2 groups of 8).
* $16 \div 2 = 8$ (This says if you split 16 balls into 2 equal groups, you get 8 in each group. This matches the picture perfectly).
* $3 \times 5 = 15$ (Wrong total).
* $16 \times 2 = 32$ (Wrong operation).

Question 16: What is the largest 4-digit number you can make from the numbers 4, 2, 8, 1, 3?
To make the largest number possible, you must put the biggest digits in the highest place values (starting from the left).
1. The available digits are: 1, 2, 3, 4, 8.
2. Pick the largest digit for the thousands place: 8.
3. Pick the next largest for the hundreds place: 4.
4. Pick the next largest for the tens place: 3.
5. Pick the next largest for the ones place: 2.
(The digit 1 is left over because we only need a 4-digit number).
The number is 8432.

Final Answer:
12. 49 11
13. 3 thousands and 8 ones
14. $6.50 $4.50
15. 16 ÷ 2 = 8
16. 8432