Expressions and Patterns: math test, Grade 5 – download the PDF

1 Evaluate / 4 pts

1. \( 56 - 8 \times 3 \)
2. \( 72 \div 9 + 6 \times 2 \)
3. \( (35 - 17) \div 3 \)
4. \( 4 \times [\, 30 - (9 + 6) \,] \)

2 Writing expressions / 3 pts

Write an expression and evaluate it.

1. Multiply the sum of 12 and 18 by 2.
2. Subtract the product of 6 and 4 from 50.
3. A store has 5 packs of 8 pencils. Three pencils are broken. How many good pencils are there?

3 Interpreting / 3 pts

1. How many times as large as \( 82 - 37 \) is \( 4 \times (82 - 37) \)?
2. Which is larger, \( (210 + 90) \div 3 \) or \( 210 + 90 \)? Do not calculate.
3. Write “twice the difference of 50 and 14” as an expression and evaluate it.

4 Two patterns / 4 pts

Pattern A starts at 0 and adds 6. Pattern B starts at 0 and adds 3.

1. Write the first five terms of each.
2. How do the terms of A compare with the matching terms of B?
3. Explain why.

5 Ordered pairs / 3 pts

Pattern A starts at 0 and adds 4. Pattern B starts at 0 and adds 12.

1. Write the first four ordered pairs (A, B).
2. How many times as large as A is B?

6 Reading a graph / 3 pts

The points P, Q and R come from two patterns.

1. Write the ordered pairs of P, Q and R.
2. Describe how y is related to x.
3. A fourth point has x-coordinate 5 and follows the same rule. What is its y-coordinate?