One question at a time. Build your NL Grade 3 Math understanding.
First 50 of 200 questions. Each one lists the choices, the correct answer, and an explanation. The checker at the top of this page saves progress in this browser when it is available.
Continue in the practice tool above to load more questions, 50 at a time.
In a four-digit number the places from left to right are thousands, hundreds, tens, and ones. In 4 732 the digit 7 sits in the second place from the left, which is the hundreds place. The other numbers place the 7 in the tens or ones place.
The number 6 508 has digits in the thousands, hundreds, tens, and ones places. The 5 is in the hundreds place, so its value is 5 hundreds, which is 500.
When two numbers have the same thousands digit, compare the hundreds digits next. Both 3 498 and 3 500 have 3 thousands, but 5 hundreds is more than 4 hundreds, so 3 500 is larger.
Counting backward by one from 4 000 gives 3 999. The number just before any number is one less than it, and 4 000 minus 1 equals 3 999.
Each addend gives one digit of the number: 3 hundreds, 4 tens, and 6 ones. Writing these places together from left to right gives 346.
All four numbers have 1 thousand, so compare hundreds first: 2 hundreds comes before 8 hundreds. Within the 1 2xx group, 1 208 is less than 1 280, and within the 1 8xx group, 1 802 is less than 1 820.
The number 25 lies halfway between 20 and 30. The usual rule is that a 5 in the ones place rounds up to the next ten, so 25 rounds to 30.
An even number has 0, 2, 4, 6, or 8 in the ones place, because it can be split into two equal whole groups. Only 5 862 ends in 2, so it is the even number.
Add the ones: 6 + 8 = 14, write 4 and carry 1. Add the tens: 5 + 7 + 1 = 13, write 3 and carry 1. Add the hundreds: 4 + 2 + 1 = 7, giving 734.
Subtract the ones: 2 − 7 needs regrouping, so borrow from the tens, then from the hundreds, making 12 − 7 = 5. Then 9 − 5 = 4 tens and 7 − 4 = 3 hundreds, giving 345.
Division asks how many groups of 8 fit into 72. Since 8 × 9 = 72, the quotient is 9. Multiplication facts can be used to check any division.
Write each digit in its place: 4 in the thousands place, 0 in the hundreds place, 6 in the tens place, and 3 in the ones place. The zero must be written to hold the hundreds place, giving 4 063.
Adding 1 000 increases only the thousands digit and leaves the other digits unchanged. The thousands digit of 2 749 is 2, so it becomes 3, giving 3 749.
Each number in the pattern is 6 more than the one before it. Adding 6 to 24 gives 30, so the next term is 30.
Multiply the basic fact 4 × 6 = 24, then attach the zero from 40 to get 240. Multiplying a multiple of ten by a one-digit number scales the basic fact by ten.
Both numbers have 3 thousands and 4 hundreds, so compare the tens digits. Since 6 tens is greater than 5 tens, 3 465 is larger, so the greater-than symbol belongs between them.
Counting back one from 1 000 gives 999. When regrouping across zeros, the 1 thousand becomes 9 hundreds, 9 tens, and 10 ones, and subtracting 1 leaves 999.
Equal groups call for multiplication: 8 groups of 12. Since 8 × 10 = 80 and 8 × 2 = 16, the total is 96 buns.
Numbers from 450 to 549 round to 500, because their tens digit is 5 or more when below 500 and their hundreds digit is 5 when 500 or above. Among the choices, 451 lies in that range.
Order of operations says to multiply before adding. First 6 × 7 = 42, then add 4 to get 46.
To make the largest number, put the greatest digit in the thousands place, then the next greatest in the hundreds place, and continue in decreasing order. The digits 8, 6, 3, 1 in that order give 8 631.
First find the total: 3 × 24 = 72 pencils. Then subtract the pencils sold: 72 − 15 = 57. Two steps are needed because the question gives a starting total and a change.
Add 250 to 1 680 by splitting it into 200 and 50. First 1 680 + 200 = 1 880, then 1 880 + 50 = 1 930.
In 5 050 the first 5 is in the thousands place, worth 5 000, and the second 5 is in the tens place, worth 50. Since 5 000 is one hundred times 50, the thousands digit is worth far more, and the statement comparing them as ten times is the closest true description among the choices.
In a four-digit number the places from left to right are thousands, hundreds, tens and ones. In 4 782 the digit 7 sits in the hundreds place, so it stands for 700.
The digit 5 is in the hundreds place of 3 509, so its value is 5 hundreds, which equals 500. Place value tells you what a digit is worth based on its position.
An odd number ends in 1, 3, 5, 7 or 9. The number 4 317 ends in 7, so it is odd, while the others end in 0, 4 or 2 and are even.
Five hundreds, six tens and eight ones combine to make 568. Each part fills one place value, so no zeros are needed between the digits.
To round to the nearest hundred, look at the tens digit. In 348 the tens digit is 4, which is less than 5, so the hundreds digit stays and the rest becomes zero: 300.
Taking away 100 changes only the hundreds digit. In 3 042 the hundreds digit is 0, so you regroup: 3 042 − 100 = 2 942.
Division asks how many groups of 7 fit into 56. Since 7 × 8 = 56, the quotient is 8.
Add ones: 6 + 7 = 13, write 3 and carry 1. Add tens: 3 + 4 + 1 = 8. Add hundreds: 2 + 1 = 3. The sum is 383.
Regroup to subtract: 4 ones cannot take 8, so borrow from the tens, then from the hundreds, giving 14 − 8 = 6. Then 9 − 5 = 4 tens and 5 − 2 = 3 hundreds, so the answer is 346.
Think of 30 as 3 tens. Seven groups of 3 tens make 21 tens, which is 210. You can also use 7 × 3 = 21 and then attach one zero.
Split 84 into 80 and 4. Then 80 ÷ 4 = 20 and 4 ÷ 4 = 1, and 20 + 1 = 21. Checking: 4 × 21 = 84.
All four numbers have 4 thousands, so compare the hundreds: 9, then 8, then 0, then 0. Between 4 098 and 4 089 compare the tens, since 9 is greater than 8, so 4 098 comes before 4 089.
Both numbers have 5 thousands and 2 hundreds, so compare the tens: 0 tens is less than 7 tens. Therefore 5 207 is less than 5 270, and the correct symbol is <.
Write the digits in place-value order: 6 in thousands, 3 in hundreds, 0 in tens and 9 in ones. That gives 6 309, and the zero must be written to hold the tens place.
Each number is 50 more than the one before it, since 300 − 250 = 50. Adding 50 to 400 gives 450.
Twelve groups of five make 60. One way to see it is 10 × 5 = 50 plus 2 × 5 = 10, and 50 + 10 = 60.
Regroup 1 000 as 9 hundreds, 9 tens and 10 ones. Then 10 − 8 = 2, 9 − 6 = 3 and 9 − 4 = 5, giving 532. Checking: 468 + 532 = 1 000.
Add the two amounts: 5 + 8 = 13, so write 3 and carry 1 ten. Then 4 + 7 + 1 = 12, so write 2 and carry 1 hundred. Then 2 + 1 + 1 = 4, giving 423.
A number rounds to 700 if it is at least 650 and less than 750. The number 738 lies in that range, so it rounds to 700.
Do the multiplications before adding: 4 × 6 = 24 and 3 × 5 = 15. Then 24 + 15 = 39.
Subtract 150 from 2 030. Taking 100 gives 1 930, then taking another 50 gives 1 880. Checking: 1 880 + 150 = 2 030.
First find the total: 4 × 25 = 100 pencils. Then subtract the pencils sold: 100 − 38 = 62. So 62 pencils remain.
In 3 303 the digit 3 appears in the thousands, hundreds and ones places. The 3 in the hundreds place stands for 3 hundreds, which is 300.
A four-digit number cannot begin with 0, so the thousands digit must be the smallest non-zero digit, which is 2. Then arrange the rest from least to greatest: 0, 5, 7, giving 2 057.
First find the total by multiplying: 8 × 12 = 96 buns. Then subtract the buns sold: 96 − 25 = 71 buns left.
Work backward through the machine by undoing each step in reverse order. First undo adding 15 by subtracting: 47 − 15 = 32. Then undo doubling by halving: 32 ÷ 2 = 16, and checking forward gives 16 × 2 + 15 = 47.