SSAT Middle Level

Basic Operations

Addition, subtraction, multiplication, and division of whole numbers — excludes fractions (see fraction-operations) and decimals (see decimal-operations)

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Imagine you are building the ultimate epic LEGO castle. You wouldn't start without knowing how to snap the basic bricks together, right? 🏰 That is exactly what "Basic Operations" are in math! Addition, subtraction, multiplication, and division are the four magic bricks you need to build any math answer on the SSAT.

Think of addition as gathering all your Halloween candy into one giant pile. 🍬 Subtraction is when your sneaky little brother takes some of that candy away! Multiplication is a super-fast shortcut for adding—like getting 5 packs of Pokémon cards, with 10 cards in each pack. And division? That is just sharing your pizza slices fairly with your best friends so nobody gets mad. 🍕

On the SSAT, these four basic moves pop up everywhere. Sometimes the test will ask you to just crunch the numbers straight up. Other times, they will hide the operations inside a word problem, like a mini mystery you have to solve! The secret to doing great is taking your time, writing your numbers neatly on your scratch paper, and double-checking your work. If you can master these four basic operations, you will be snapping together right answers faster than a master builder! Let's dive in and flex those math muscles! 💪

Key Formula
Inverse operations are your best friends! Addition and subtraction undo each other. Multiplication and division undo each other. If you know , then .

Practice Questions

5 practice questions for SSAT Middle Level

Q1 Medium
A submarine is currently at a depth of 30 feet below sea level. It descends 18 feet, rises 22 feet, and then descends another 9 feet. What is the submarine's current depth?
A 21 feet below sea level
B 26 feet below sea level
C 35 feet below sea level
D 43 feet below sea level
E 79 feet below sea level
Show Solution
  • Starting at a depth of 30 feet, descending adds to the depth and rising subtracts from the depth. The sequence of operations is: . First, feet. Then, feet. Finally, feet. The submarine is 35 feet below sea level.
Answer: C
Q2 Medium
A baker makes 4 dozen cupcakes. If the cupcakes are placed into boxes that hold exactly 6 cupcakes each, how many boxes are needed? (1 dozen = 12)
A 6
B 7
C 8
D 9
E 12
Show Solution
  • First, find the total number of cupcakes. Since 1 dozen is 12, 4 dozen is cupcakes. Next, divide the total number of cupcakes by the number of cupcakes each box can hold: . The baker needs 8 boxes.
Answer: C
Q3 Medium
A student is reading a 120-page book. She reads 30 pages on Monday and 45 pages on Tuesday. How many pages must she read on Wednesday to have read exactly of the book?
A 15
B 20
C 25
D 30
E 45
Show Solution
  • First, determine how many pages make up of the book: pages. Next, calculate how many pages the student has already read: pages. Finally, subtract the pages already read from the target number of pages: pages. She must read 15 pages on Wednesday.
Answer: A
Q4 Medium
A group of 5 friends orders 3 pizzas that cost $14 each and 5 drinks that cost $2 each. If the group splits the total cost equally, how much will each person pay?
A $9.60
B $10.00
C $10.40
D $11.20
E $12.50
Show Solution
  • First, calculate the total cost of the pizzas: dollars. Then, calculate the total cost of the drinks: dollars. The total bill is dollars. To find out how much each person pays, divide the total by 5: . Each person will pay $10.40.
Answer: C
Q5 Medium
A machine prints 50 posters every 2 minutes. At this rate, how many posters can the machine print in 15 minutes?
A 250
B 300
C 350
D 375
E 400
Show Solution
  • First, find the unit rate of the machine by dividing the number of posters by the time: posters per minute. Next, multiply this rate by the target time of 15 minutes: . The machine can print 375 posters.
Answer: D

Tips & Strategies

  • Use scratch paper like a pro! On the SSAT, don't try to subtract or divide big numbers in your head. Stack them neatly on your scratch paper so your place values line up perfectly.
  • Look for shortcuts with division! Dividing by 25 is the same as dividing by 100 and multiplying by 4. Dividing by 5 is the same as dividing by 10 and multiplying by 2.
  • Work backwards! If a question asks 'what number divided by 4 equals 12?', just flip the operation and multiply the answer choices by 4 to see which one gives you 12.

Common Mistakes

  • Watch out for sloppy borrowing in subtraction! When you borrow from the next column, always remember to cross out the old number and write the new, smaller number right away so you don't forget.
  • Don't forget to read the vocabulary carefully. Sometimes 'difference' means subtraction, and 'product' means multiplication. Mixing up these vocabulary words is a super common trap!

Frequently Asked Questions

Do I get to use a calculator on the SSAT?

Nope! Calculators are not allowed on the SSAT. That's why practicing your basic addition, subtraction, multiplication, and division by hand is so important! ✍️

What if I get stuck on a big long division problem?

Take a deep breath and use estimation! If you need to divide 412 by 4, you know 400 divided by 4 is 100. So your answer should be just a little bit bigger than 100. Look at the multiple-choice answers and pick the one that makes the most sense.

How do I know which operation to use in a word problem?

Look for clue words! Words like 'total' or 'sum' usually mean addition. 'Difference' or 'left over' mean subtraction. 'Each' or 'times' point to multiplication, and 'share' or 'per' mean division. 🕵️‍♂️

Are there negative numbers in basic operations on the lower level SSAT?

For the elementary and lower levels, you will mostly stick to positive whole numbers. But as you get older and take the middle or upper-level tests, negative numbers will join the party! For now, just focus on mastering your positive whole numbers.

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