# Mathematics Grade 3 Practice Questions

## Operations and Algebraic Thinking

##### 1. Interpret 6 * 4 in a real world context.
1. A family with 4 children has a total of 6 people in it.
2. There are 6 cookies, and you eat 4 of them.
3. You buy 6 binders for \$4 each.
4. You have \$6, and your mom gives you \$4 more.
##### 2. Interpret 24 / 8 in a real world context.
1. A total of 24 slices of pizza are divided among 8 hungry people.
2. There are 24 houses, and each has 8 windows.
3. You have 24 baseball cards, and you buy 8 more.
4. Your vacation lasts 8 days, and each day has 24 hours.
1. 3 crayons
2. 4 crayons
3. 6 crayons
4. 8 crayons
1. 4
2. 5
3. 6
4. 7

1. 400
2. 430
3. 440
4. 500
1. 335
2. 435
3. 721
4. 921

## Numbers and Operations Fractions

##### 7. Which fraction is represented by the darkly shaded area below? 1. 1/5
2. 4/5
3. 5/4
4. 5/1
##### 8. Which point represents the fraction 1/4 on the number line below? 1. Point A
2. Point B
3. Point C
4. Point D

## Measurement and Data

1. 12:30
2. 12:35
3. 12:40
4. 12:45
1. 9 grams
2. 12 grams
3. 15 grams
4. 18 grams

### Operations and Algebraic Thinking

1. C: You can think of 6 4 as six groups of four objects. If you buy 6 binders for \$4 each, then the total amount of money you spend is \$4 + \$4 + \$4 + \$4 + \$4 + \$4, which is six groups of \$4.

2. A: You can think of 24 / 8 as equally dividing 24 objects into eight groups. If 24 slices of pizza are divided between 8 people, then you have to divide the slices into eight groups.

3. B: There are 32 crayons that are evenly divided among 8 students. Therefore, you can find number of crayons each student gets by dividing 32 by 8. The result is 4 crayons each.

4. B: Use trial-and-error to find a number that you can multiply by 4 to get 20. Since 4 1 means four groups of one object, 4 1 = 4. Try using other numbers for missing number.

4 2 = 8
4 3 = 12
4 4 = 16
4 5 = 20

Therefore, the missing number is 5.

### Numbers and Operations in Base Ten

5. C: To round to the nearest ten, first look at the digit in the tens place, which is a 3. Thus, if you round 437 down, the 3 will stay the same, and the answer will be 430. Conversely, if you round it up, the 3 will go up to a 4, and the answer will be 440. Finally, look at the number after the 3, which is a 7. Since it is greater than 5, you should round up. Therefore, the answer is 440.

6. B: Set up the addition vertically, making sure to line up the digits by place value.

381
+ 54
435

### Numbers and Operations Fractions

7. A: A fraction 1/b can be represented as a whole partitioned (or divided) into b equal parts. For example, if a figure is divided into 2 equal parts, then each part represents 1/2 of the whole. Notice that the rectangle in the problem is divided into 5 equal parts and one of those parts is shaded. Therefore, it represents the fraction 1/5.

8. B: If you partition (or divide) the space between 0 and 1 on a number line into b equal parts, then each part has size 1/b, and the first division to the right of zero represents the point 1/b. For example, if you divide the space between 0 and 1 on a number line into three equal parts, then each part has size 1/3 and the first endpoint represents the point 1/3.

Therefore, to find 1/4, divide the space between 0 and 1 on a number line into four equal parts. The first endpoint represents 1/4.

### Measurement and Data

9. D: To calculate when her lunch break finishes, add 30 minutes to the time it starts, 12:15. Since we know that 15 + 30 = 45, the correct answer is 12:45.

10. D: Since each penny has a mass of about 3 grams, you can find the total mass of 6 pennies by adding 3 + 3 + 3 + 3 + 3 + 3. In other words, you have to multiply 3 6. Thus, the total mass is 18 grams. 