Grade 2 Math: 10 Free Practice Questions

Answer: 2 1/3
Seven thirds equal 2 1/3 cakes. Three thirds make 1 whole cake. Group the 7 pieces: 3 + 3 + 1. That is 1 whole + 1 whole + 1/3 = 2 1/3. Students may write 7 1/3, treating each third-piece as a whole cake, or miscount the leftover pieces and write 2 2/3.

Answer: 12
The first common number is 12. Counting by 4s: 4, 8, 12, 16, 20, 24... Counting by 6s: 6, 12, 18, 24... The first number appearing in both lists (besides 0) is 12. Students may pick 24 because it also appears in both lists, but 12 comes first.

Answer: 9
6 + 3 equals 9. Add the two numbers: 6 + 3 = 9. Some students confuse addition with subtraction and write 3 instead of adding correctly.

Answer: 198, 214, 302
The correct order from least to greatest is 198, 214, 302. Compare hundreds digits: 198 has 1 hundred, 214 has 2 hundreds, 302 has 3 hundreds. Ordering by hundreds gives 198, 214, 302. Students may order numbers based on their first digit alone without checking that hundreds place fully determines size, leading to reversed or scrambled sequences.

Answer: Apples
The tallest bar represents Apples with 8 votes, which is greater than 6, 5, and 3. Students must compare bar heights and identify the maximum value.

Answer: A large jug of milk
A large jug of milk is best measured in gallons because gallons measure large amounts of liquid. Gallons are used for large quantities of liquid, such as milk jugs, water jugs, or gasoline. Spoonfuls, cups, and small bottles hold much smaller amounts, so they are measured in smaller units like teaspoons or cups, not gallons. Students may choose a cup of juice, confusing 'cups' as a unit with gallons because both are liquid containers, without considering the size difference.

Answer: Sam read more of the book than Tia
50% is greater than 25%, so Sam read more. Compare the percents of the same book: 50 is greater than 25. So Sam, at 50%, has read more than Tia, at 25%. Students may think 25% is more because 25 has a 2 and a 5, or because 4 parts sounds like more than 2 parts.

Answer: 1 quarter
Only 1 quarter of the rectangle remains unshaded. The whole rectangle has 4 quarters total. If 3 quarters are shaded, then 4 minus 3 equals 1 quarter left unshaded. Miscounting and assuming the unshaded amount equals the shaded amount (3 quarters) instead of subtracting from the total of 4.

Answer: 12
The next number is 12. Counting backward by 2s: 14 - 2 = 12. Students may subtract only 1 instead of 2, giving 13.

Answer: Wrong — minutes cannot exceed 59. 45+20=65, so 65−60=5 minutes, and the hour increases to 4. Correct time: 4:05
✅ Correct Answer: 4:05 (not 3:65) 🧒 For Kids: 45 + 20 = 65 minutes But a clock only goes up to 59 minutes! 65 minutes = 60 minutes + 5 minutes = 1 hour + 5 minutes So: 3:00 + 1 hour 5 minutes = 4:05 💡 Tip: Minutes go from 0-59. When you reach 60, it becomes 1 more hour and 0 minutes! 👨‍👩‍👧 For Parents: This combines clock-reading (NY-2.MD.7) with regrouping (NY-2.NBT.5) — minutes regroup into hours just like ones regroup into tens!