Grade 1 Practice Problems: Algebra
Examples from Standards Revision and GLEs
1A-33) Same shapes are the same numbers. Given: 
+ 2 = 6 
+ 
= 10
What is 
? What is 
? What is 
+ 
?
1A-32) Use the following pattern and answer questions:
1A-31) Which symbol goes in the box to make this a true statement?
1A-30) What are the next three numbers in this pattern?
20, 19, 88, ___, ___, ___
1A-29) What are the next three numbers in this pattern?
26, 27, 28, ___, ___, ___
1A-28) What are the next three numbers in this pattern?
14, 16, 18, ___, ___, ___
1A-27) Sharon counted six blue balls and eight red balls. Which number sentence shows how many she counted in all?
A. 8-6=2 B. 6+8=14 C. 6+2=8 D. None of these
1A-26) Use the following object to make a pattern:
1. Record your pattern.
2. Describe your pattern in 2 different ways.
3. What comes next? How do you know?
4. How did you decide what pattern to make?
5. Make a different pattern. Record your pattern.
6. What comes next? How do you know?
7. How is this different from the first pattern?
1A-25) Jane looked at the toys in the toy store. She saw turtles, birds, bears, dogs, and cats. She bought 3 different toys. She paid 12 cents in all. Which 3 toys did Jane buy?
1A-24) I saw cows and ducks in the pasture. I counted 14 legs and 5 heads. How many cows, and how many ducks were there in the pasture?
1A-23) Ducklings are hatching at the pond. On Monday, 1 duckling hatched. On Tuesday, 2 ducklings hatched. On Wednesday, 3 ducklings hatched. How many ducklings will hatch on Saturday?
1A-22) Frog is very hungry. He grabs one fly on hop number 3. He grabs his next fly on hop number 6, and his next fly on hop number 9.
• If this pattern continues, at what number hop will Frog have 10 flies?
• How many flies will Frog have on hop number 60?
1A-21) I saw 3 horses and 3 ducks in the barn. How many heads did I see? How many legs did I see?
1A-20) Mary and Bob took their son and their daughter to the beach. Their dog, Misty, and her two puppies went along with them. Grandma Brown met them there. How many legs were in the group on the beach?
1A-19) There are 4 bicycles and 2 tricycles parked out front. How many tires are there in all?
1A-18) On Sunday you eat 1 apple. On Monday you eat 2 apples. On Tuesday you eat 1 apple. On Wednesday you eat 2 apples. How many apples will you eat on Saturday?
1A-17) What comes next in the pattern? Draw it.
1A-16) What comes next in the pattern? Draw it.
1A-15) What comes next in the pattern? Draw it.
1A-14) Jill has 4 dogs. Alonzo has 1 more dog than Jill. Rosa has 1 more dog than Alonzo. How many dogs does Rosa have?
1A-13) A number sentence is shown below.
J J + J J J = J J J J J
2 + 3 = 5
Complete the 3 number sentences below, so that each one is different.
__________ + __________ = 5
__________ + __________ = 5
__________ + __________ = 5
1A-12) Use the number chart to help you answer questions 9-12.
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What numbers come next? 2, 4, 6, ________ , ________
What numbers come next? 1, 3, 5, ________ , ________
What numbers come next? 9, 19, 29, 39, ________ , ________
What numbers come next? 58, 57, 56, ________ , ________
1A-11) Here is a picture of a cube train with 8 cubes, 3 black and 5 white.
This train can be described with a number sentence: 3 + 5 = 8
Color in the train below with 1 black and 7 white cubes.
Write a number sentence that describes the train.
Color in the train below with all 8 cubes the same color.
Write a number sentence that describes the train.
Choose 7 of your cubes. Make a cube train with them. Color in the train below.
Write a number sentence that describes the train.
1A-10) Fill in the blanks using greater than, less than, or equal to (>,<,=) 34________43
1A-9) Fill in the blanks using greater than, less than, or equal to (>,<,=) 24+5________92
1A-8) Fill in the blanks using greater than, less than, or equal to (>,<,=) 82+5+2________89
1A-7) Fill in the blanks using greater than, less than, or equal to (>,<,=) 22+5________26
1A-6) If I know 3+5=__. Then I know 30+50= ___. Then I know 300+500=____.
1A-5) 99, 89, 79, __, __, __, __, 29, 19, __ Fill in the missing numbers.
1A-4) 2, 12, 22, 32, __, __, __, __, 82, 92, 102, ___ , ___ Fill in the missing numbers.
1A-3) Make pictures of a box, a fox, a box, and a fox. What comes next?
1A-2) I planted tulips so that they would bloom in a pattern. The pattern is red, orange, yellow, red, orange, yellow. What color is the fifth tulip? What color is the ninth tulip?
1A-1) Make a picture of one black ant and two red crabs. Underneath it make a picture of one red ant. Put two crabs next to the ant. What color will the crabs be?
Expectations & Examples of Algebra from the 2008 Math Standards Revision (draft) - Grade 1
Use the commutative and associative properties to solve a variety of addition and subtraction problems involving two or more one-digit numbers or symbols; justify the solution. Examples:
Recognize, extend, and create number patterns. Example:
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Examples of Algebraic Sense from the 2006 GLEs – Grade 1
Describe and construct a variety of repeating patterns using sounds, objects, and symbols. Describe and extend a repeating pattern. Identify the unit in a repeating pattern and explain what makes it a pattern. Locate and describe numerical patterns in the 100s chart. Describe and illustrate geometric patterns in art, textiles, and ceramics. Represent equality by writing equations using the = symbol. Explain the meaning of equality using pictures or words. Give an example of equality in real life. |