1st Grade Practice · Mixed Topics · Easy to Hard
1st Grade Math: 20 Questions (10 Easy · 5 Medium · 5 Hard) with Answers, Explanations & Theory
A 20-question 1st grade math practice set graded from easy to hard. 10 easy warm-ups for confidence, 5 medium-level questions to stretch, and 5 hard challenge questions for the strong end of 1st grade. Every question has four answer choices, a kid-friendly explanation, and a short note on the math theory behind it. Built by the SOMATH team at 226 W 79th Street, Upper West Side.
How to use this set. Read each question with your child. Let them pick A, B, C, or D before you reveal the answer. If they get it right, read the theory note together — it names the big idea behind the question. If they get it wrong, work the explanation slowly. The point is not the score; it is the conversation about why the math works. This set covers the major 1st-grade Common Core domains: counting and cardinality, addition and subtraction within 20, place value, geometry, time, and money.
Sections
Section 1 · Easy (questions 1–10)
Question 1 Easy
What number comes right after 5?
- A) 4
- B) 5
- C) 6
- D) 7
Answer: C) 6
Explanation. When we count up, each number is one more than the one before it. After 5 comes 6.
Theory — Counting and the successor. Every whole number has a “next number” we get by adding 1. This is called the successor. Counting is built on this idea: 1, 2, 3, … each step is +1.
Question 2 Easy
Which number is the smallest?
- A) 4
- B) 9
- C) 2
- D) 6
Answer: C) 2
Explanation. On a number line, 2 sits the furthest to the left, so it is the smallest.
Theory — Comparing whole numbers. Numbers can be ordered from least to greatest. Smaller numbers come earlier when we count up from 0.
Question 3 Easy
Count the dots: ● ● ● ● ●
- A) 3
- B) 4
- C) 5
- D) 6
Answer: C) 5
Explanation. Touch each dot once as you count: 1, 2, 3, 4, 5.
Theory — One-to-one correspondence. Counting works because we match each object to exactly one number word. The last number you say is how many there are (this is called cardinality).
Question 4 Easy
2 + 3 = ?
- A) 4
- B) 5
- C) 6
- D) 1
Answer: B) 5
Explanation. Start at 2 and count up 3 more: 3, 4, 5.
Theory — Addition as joining. Adding two groups means putting them together to find the total. We can also think of it as “counting on” from the first number.
Question 5 Easy
6 − 2 = ?
- A) 2
- B) 3
- C) 4
- D) 8
Answer: C) 4
Explanation. Start at 6 and count back 2: 5, 4.
Theory — Subtraction as taking away. Subtracting means removing some objects from a group, or finding “how far apart” two numbers are. It is the inverse (opposite) of addition.
Question 6 Easy
Which shape has 3 sides?
- A) Square
- B) Triangle
- C) Circle
- D) Rectangle
Answer: B) Triangle
Explanation. “Tri-” means three. A triangle has exactly 3 straight sides and 3 corners.
Theory — Defining shapes by attributes. In geometry we describe shapes by the number of sides and corners (vertices), not by their color or size.
Question 7 Easy
Fill in the blank: 10, 9, 8, __, 6
- A) 5
- B) 7
- C) 8
- D) 4
Answer: B) 7
Explanation. The numbers are counting down by 1. After 8 comes 7.
Theory — Counting backwards. Just like adding 1 gives the next number, subtracting 1 gives the previous number (the predecessor). This builds the foundation for subtraction.
Question 8 Easy
4 + 1 = ?
- A) 3
- B) 4
- C) 5
- D) 6
Answer: C) 5
Explanation. Adding 1 just means “the next number.” After 4 comes 5.
Theory — Adding 1 is the successor. This is the same idea as counting. Every “+1” jumps to the next number on the number line.
Question 9 Easy
How many sides does a square have?
- A) 3
- B) 4
- C) 5
- D) 6
Answer: B) 4
Explanation. A square has 4 equal straight sides and 4 corners.
Theory — Classifying quadrilaterals. Any shape with 4 straight sides is a quadrilateral. A square is a special quadrilateral where all 4 sides are the same length and all 4 corners are square corners (right angles).
Question 10 Easy
Which group has MORE?
- A) ★ ★ ★
- B) ★ ★ ★ ★ ★
- C) ★ ★
- D) ★
Answer: B) 5 stars
Explanation. Count each group. The one with 5 stars has the most.
Theory — Comparing sets by counting. To compare two groups, we count each one. The group whose count is the bigger number has more. This connects counting to comparing.
Section 2 · Medium (questions 11–15)
Question 11 Medium
8 + 5 = ?
- A) 12
- B) 13
- C) 14
- D) 11
Answer: B) 13
Explanation. A nice trick: take 2 from the 5 and give it to the 8 to make 10. Now you have 10 + 3 = 13.
Theory — Make-a-ten strategy. Since our number system is base 10, decomposing numbers to make a friendly 10 makes addition faster and more accurate. This sets up place value later.
Question 12 Medium
What is 1 more than 19?
- A) 18
- B) 19
- C) 20
- D) 21
Answer: C) 20
Explanation. 19 has 1 ten and 9 ones. Adding 1 more makes 10 ones, which is another ten — so 2 tens = 20.
Theory — Place value and bundling. In base 10, once you have 10 ones, you “bundle” them into 1 ten. This is the same idea that turns 99 + 1 into 100.
Question 13 Medium
There are 7 birds on a branch. 3 fly away. How many are left?
- A) 10
- B) 4
- C) 5
- D) 3
Answer: B) 4
Explanation. Start with 7, take away 3: 7 − 3 = 4.
Theory — Subtraction word problems (take-from). Real-life math comes in stories. Translating words like “fly away,” “lost,” or “ate” into a minus sign is a key first-grade skill.
Question 14 Medium
Which number sentence is TRUE?
- A) 5 + 2 = 8
- B) 4 + 3 = 7
- C) 6 + 1 = 8
- D) 2 + 2 = 5
Answer: B) 4 + 3 = 7
Explanation. Only 4 + 3 actually equals 7. The others give 7, 7, and 4 respectively — none match what is written.
Theory — The equals sign means “same as.” Many kids think = means “the answer comes next.” It really means both sides have the same value. This idea will matter for algebra later.
Question 15 Medium
Which clock shows 3 o’clock?
- A) Hour hand on 3, minute hand on 12
- B) Hour hand on 12, minute hand on 3
- C) Hour hand on 3, minute hand on 6
- D) Hour hand on 6, minute hand on 3
Answer: A) Hour hand on 3, minute hand on 12
Explanation. “O’clock” means the minute hand points straight up at 12. The hour hand points to the hour — here, 3.
Theory — Telling time to the hour. Clocks measure time using two hands moving at different speeds. The short hand tracks hours; the long hand tracks minutes. Reading them together is an early step toward fractions of an hour.
Section 3 · Hard (questions 16–20)
Question 16 Hard
Find the missing number: 6 + __ = 13
- A) 5
- B) 6
- C) 7
- D) 8
Answer: C) 7
Explanation. Ask: “6 plus what gets me to 13?” Count up from 6: 7, 8, 9, 10, 11, 12, 13 — that’s 7 jumps.
Theory — Inverse operations. A missing addend can be found with subtraction: 13 − 6 = 7. Addition and subtraction undo each other. This is the seed of solving equations.
Question 17 Hard
15 − 8 = ?
- A) 6
- B) 7
- C) 8
- D) 9
Answer: B) 7
Explanation. Break 15 into 10 + 5. Take 8 from the 10 to get 2, then add the leftover 5: 2 + 5 = 7.
Theory — Subtraction with decomposition. Hard subtractions (especially across 10) get easier when you split the larger number using place value. This strategy scales to 2- and 3-digit subtraction later.
Question 18 Hard
Lily had some stickers. She gave 4 to her brother. Now she has 9. How many did she start with?
- A) 5
- B) 9
- C) 13
- D) 4
Answer: C) 13
Explanation. She lost 4 and ended at 9, so before giving any away she had 9 + 4 = 13.
Theory — Start-unknown problems. When the starting amount is the mystery, we work the problem backwards. These are the hardest 1st-grade word problems because the action (giving away) seems to call for subtraction, but the solution uses addition.
Question 19 Hard
I am a 2-digit number. I have 4 tens and 6 ones. What number am I?
- A) 64
- B) 46
- C) 10
- D) 406
Answer: B) 46
Explanation. 4 tens = 40. Add 6 ones: 40 + 6 = 46.
Theory — Place value. In a 2-digit number, the left digit counts how many tens and the right digit counts how many ones. So 46 means 4 tens + 6 ones, not “four and six.”
Question 20 Hard
Ben has 2 dimes and 3 pennies. How many cents does he have in all?
- A) 5¢
- B) 13¢
- C) 23¢
- D) 32¢
Answer: C) 23¢
Explanation. Each dime is 10¢, so 2 dimes = 20¢. Each penny is 1¢, so 3 pennies = 3¢. Total: 20 + 3 = 23¢.
Theory — Coin values and skip counting. Money is a real-world use of place value. Counting dimes by tens (10, 20, 30…) and pennies by ones (21, 22, 23) is exactly the same idea as reading a 2-digit number.
Answer Key
| # | Ans | # | Ans | # | Ans | # | Ans |
|---|---|---|---|---|---|---|---|
| 1 | C | 6 | B | 11 | B | 16 | C |
| 2 | C | 7 | B | 12 | C | 17 | B |
| 3 | C | 8 | C | 13 | B | 18 | C |
| 4 | B | 9 | B | 14 | B | 19 | B |
| 5 | C | 10 | B | 15 | A | 20 | C |
Big Ideas Covered
- Counting and cardinality: successor, predecessor, one-to-one correspondence, comparing sets (Q1, 2, 3, 7, 8, 10)
- Addition and subtraction within 20: counting on, taking away, make-a-ten, decomposition (Q4, 5, 11, 17)
- Word problems: result-unknown, start-unknown (Q13, 18)
- The equals sign as a balance: both sides have the same value (Q14, 16)
- Place value (tens and ones): bundling 10 ones into 1 ten (Q12, 19, 20)
- Geometry: classifying shapes by sides and corners (Q6, 9)
- Time and money: clock reading, coin values (Q15, 20)
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