5th Grade Patterns and Ordered Pairs Worksheet (PDF)

Write the first six terms of this pattern. Start at 0 and add 5.

Write the first six terms of this pattern. Start at 0 and add 4.

Pattern A: start at 0 and add 2. Pattern B: start at 0 and add 6. Write the first five terms of each pattern.

Pattern A: 0, 3, 6, 9. Pattern B: 0, 9, 18, 27. Write the four ordered pairs of corresponding terms.

Pattern A starts at 0 and adds 5. Pattern B starts at 0 and adds 10. Copy and complete the table.

Pattern A: 0, 3, 6, 9. Pattern B: 0, 12, 24, 36. How do the terms in B compare with the corresponding terms in A?

Plot the ordered pairs \((0, 0), (1, 3), (2, 6), (3, 9)\) on a coordinate plane like the one shown.

Pattern A starts at 0 and adds 4. Pattern B starts at 0 and adds 8. Write the first five ordered pairs.

These ordered pairs come from two patterns: \((0, 0), (2, 6), (4, 12), (6, ?), (8, 24)\). Find the missing number.

The ordered pairs \((0, 0), (5, 10), (10, 20), (15, 30)\) come from two patterns. Write the rule for each pattern and tell how the terms are related.

Pattern A: start at 0, add 6. Pattern B: start at 0, add 3. Write the first four ordered pairs and describe how the terms are related.

The graph shows ordered pairs from two patterns that start at 0. Write the ordered pairs, write the rule for each pattern, and tell the second number when the first number is 8.

Pattern A starts at 0 and adds 3. Pattern B starts at 0 and adds 6. Which of these ordered pairs come from the patterns? \((6, 12), (9, 15), (12, 24)\)

Pattern A starts at 0 and adds 4. Pattern B starts at 0 and adds 8. Liam says that \((4, 12)\) is a pair of corresponding terms. Explain his mistake and give the correct pair.

At the farmers market, Maya buys bags of apples. Each bag costs \(\$3\). Number of bags: start at 0, add 1. Total cost: start at 0, add 3. Write the ordered pairs for 0 to 4 bags and tell the cost of 4 bags.

Jamal’s family drives 50 miles each hour. Hours: start at 0, add 1. Miles: start at 0, add 50. Write the ordered pairs for 0 to 4 hours. How many miles do they drive in 6 hours?

A Little League team plays games. Games: start at 0, add 2. Water bottles used: start at 0, add 10. How many water bottles are used in 10 games?

Sofia packs cookies at a bake sale. Cookies: start at 0, add 6. Dollars earned: start at 0, add 4. Write the first four ordered pairs. How many dollars does she earn for 18 cookies?

Priya saves \(\$5\) each week. Diego saves \(\$10\) each week. Both start with \(\$0\). Write ordered pairs (Priya’s total, Diego’s total) for weeks 0 to 5. How does Diego’s total compare with Priya’s?

Mei rides her bike 3 miles every 15 minutes. Minutes: start at 0, add 15. Miles: start at 0, add 3. (a) Write the ordered pairs for 0 to 60 minutes. (b) How many miles does she ride in 90 minutes? (c) How many minutes does it take to ride 21 miles?