Grade 6 Mathematics Initial Assessment
Name:
Date:
Directions: This assessment will help us understand your current math skills. Show all your work and circle your final answers. You have 45 minutes to complete this assessment. Do your best!
Section 1: Number Sense and Operations (20 points)
1. Evaluate: 3² × (8 - 5) ÷ 3 + 7
2. Convert the fraction 3/8 to a decimal and a percentage.
3. Find the greatest common factor (GCF) of 36 and 48.
4. Calculate: 2¾ + 1⅔
Section 2: Ratios and Proportional Relationships (15 points)
5. If a recipe calls for 2 cups of flour to make 24 cookies, how many cups of flour are needed for 36 cookies?
6. Express the ratio 15:25 in simplest form.
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Grade 6 Mathematics Initial Assessment (continued)
7. If 3 shirts cost $45, how much would 5 shirts cost?
Section 3: Expressions and Equations (20 points)
8. Solve for x: 3x + 7 = 25
9. Write an expression for "5 less than twice a number y".
10. Evaluate the expression 3(x + 2) - 4 when x = 5.
Section 4: Geometry (15 points)
11. Find the area of a rectangle with length 8.5 cm and width 4 cm.
12. Calculate the volume of a rectangular prism with length 5 m, width 3 m, and height 2 m.
Section 5: Statistics and Probability (15 points)
13. The test scores of 7 students are: 85, 92, 78, 90, 85, 88, 95.
Find the mean, median, and mode of these scores.
14. If you roll a fair six-sided die, what is the probability of rolling a number greater than 4?
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Section 6: Problem Solving (15 points)
15. A rectangular garden has a length of 12 feet and a width of 8 feet. If the owner wants to expand the garden by increasing both the length and width by the same amount so that the new area is twice the original area, by how many feet should the length and width each be increased?
16. Carlos bought a shirt for $24 and a pair of pants. The total cost was $60, and there was a 5% sales tax on the entire purchase. How much did the pants cost?
17. A water tank is ⅔ full. If 45 gallons of water are added, it will be ¾ full. What is the capacity of the tank in gallons?
Congratulations on completing your initial assessment!
Your results will help us understand your strengths and areas for growth in mathematics.
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