(Math) Mandatory Mathematics Assessment

Part 1: Whole Numbers (Questions 1-20)

1. What is the value of 7 in the number 275,431?

2. Write two hundred fifty-six thousand, seven hundred ninety-two in standard form.

3. Round 37,629 to the nearest thousand.

4. What is 5,382 + 7,941?

5. Find the sum: 4,765 + 8,329 + 1,456

6. Calculate 9,374 - 2,858

7. What is the difference between 10,000 and 6,742?

8. Multiply: 467 × 8

9. Find the product: 725 × 36

10. Calculate 2,736 ÷ 12

11. What is 5,472 ÷ 24?

12. Which expression equals 84?
    a) 7 × 9 + 21
    b) 7 × (9 + 21)
    c) 7 + 9 × 21
    d) (7 + 9) × 21

13. What is the value of 6² + 4³?

14. If 5n = 45, what is the value of n?

15. Find the missing number: 63 ÷ □ = 7

16. Evaluate: 8 × 5 + 12 ÷ 4

17. What is the next number in the pattern: 3, 8, 13, 18, …?

18. Find the rule for the pattern: 5, 10, 20, 40, …

19. Mrs. Johnson needs 28 pencils for each of her 25 students. How many pencils does she need in total?

20. A restaurant served 267 customers on Saturday and 189 customers on Sunday. How many more customers did they serve on Saturday?

Part 2: Fractions (Questions 21-40)

1. Convert 3/5 to an equivalent fraction with denominator 20.

2. Write 7/10 as an equivalent fraction with denominator 100.

3. Simplify the fraction 18/24 to lowest terms.

4. Reduce 45/60 to its simplest form.

5. Add: 2/5 + 1/5

6. Calculate 5/8 + 2/8

7. Find the sum: 3/4 + 2/3

8. What is 5/6 + 7/12?

9. Subtract: 7/8 - 3/8

10. Calculate 5/6 - 1/3

11. Find the difference: 7/12 - 1/4

12. What is 1 - 2/5?

13. Multiply: 2/3 × 3/4

14. Calculate 5/8 × 4/5

15. Find the product: 1/2 × 3/4 × 2/3

16. Divide: 3/4 ÷ 2/3

17. Calculate 5/8 ÷ 5/12

18. Order these fractions from least to greatest: 2/3, 5/8, 7/12

19. Sarah ate 3/8 of a pizza and Michael ate 2/5 of the same pizza. Who ate more?

20. A recipe calls for 3/4 cup of flour. If you want to make 1/3 of the recipe, how much flour do you need?

Part 3: Decimals (Questions 41-60)

1. Write 0.7 as a fraction in simplest form.

2. Express 0.25 as a fraction.

3. Convert 3/4 to a decimal.

4. Write 7/20 as a decimal.

5. Round 3.768 to the nearest hundredth.

6. Round 0.683 to the nearest tenth.

7. Add: 5.7 + 2.83

8. Calculate 9.45 + 7.632

9. Find the sum: 0.75 + 0.8 + 0.125

10. Subtract: 7.35 - 2.48

11. Calculate 10 - 6.73

12. Find the difference: 5.6 - 2.75

13. Multiply: 0.7 × 0.3

14. Calculate 2.45 × 6

15. Find the product: 0.75 × 0.4

16. Divide: 8.4 ÷ 4

17. Calculate 3.75 ÷ 1.5

18. Order these decimals from greatest to least: 0.8, 0.75, 0.825

19. Jacob ran 1.5 miles on Monday and 2.75 miles on Tuesday. How far did he run altogether?

20. A ribbon is 3.6 meters long. If you cut it into 9 equal pieces, how long will each piece be?

Part 4: Measurement and Data (Questions 61-80)

1. How many millimeters are in 5 centimeters?

2. Convert 3.5 kilometers to meters.

3. How many grams are in 2.5 kilograms?

4. Convert 4,500 milliliters to liters.

5. How many minutes are in 3.5 hours?

6. Convert 180 seconds to minutes.

7. Find the perimeter of a rectangle with length 8 cm and width 5 cm.

8. Calculate the perimeter of a square with side length 6.5 inches.

9. What is the area of a rectangle with length 9 m and width 4 m?

10. Find the area of a square with side length 7.5 cm.

11. Calculate the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm.

12. The temperatures for a week were: 72°F, 68°F, 70°F, 75°F, 73°F, 69°F, and 71°F. What is the mean (average) temperature?

13. Find the median of these numbers: 12, 8, 15, 10, 7

14. What is the mode of this data set: 5, 8, 5, 10, 7, 5, 8?

15. Create a line plot for this data: 3, 5, 3, 4, 5, 5, 4, 3, 5

16. The heights (in inches) of five students are: 52, 54, 51, 55, and 53. What is the range of their heights?

17. Read the data from this bar graph: [A simple bar graph would be shown here]

18. Interpret the data from this line graph: [A simple line graph would be shown here]

19. Emma’s piggy bank contains 5 quarters, 8 dimes, 12 nickels, and 15 pennies. How much money does she have?

20. A recipe needs 2 cups of sugar. If you have 3/4 cup, how much more do you need?

Part 5: Geometry (Questions 81-100)

1. Classify the triangle with angles 30°, 60°, and 90°.

2. What type of triangle has all sides equal?

3. How many sides does a hexagon have?

4. What is the sum of angles in a triangle?

5. Find the area of a triangle with base 8 cm and height 6 cm.

6. Calculate the volume of a cube with side length 4 inches.

7. What is the measure of each angle in a regular pentagon?

8. Identify the line of symmetry in a rectangle.

9. How many vertices does a rectangular pyramid have?

10. What is the circumference of a circle with radius 7 cm? (Use π = 3.14)

11. Calculate the area of a circle with diameter 10 cm. (Use π = 3.14)

12. Identify the coordinates of point A on this coordinate plane: [A simple coordinate plane would be shown here]

13. Plot the point (3,5) on a coordinate plane.

14. What shape is formed by connecting the points (1,1), (4,1), (4,5), and (1,5)?

15. Identify the following transformation: [A simple reflection would be shown here]

16. Draw the reflection of triangle ABC over the y-axis.

17. What is the perimeter of a regular hexagon with side length 5 cm?

18. A rectangular garden is 12 feet long and 8 feet wide. How much fencing is needed to enclose it?

19. The radius of a circular pond is 3.5 meters. What is its area? (Use π = 3.14)

20. A rectangular prism has length 8 cm, width 5 cm, and height 3 cm. What is its volume?