SSAT Elementary Level Math : Whole and Part

Study concepts, example questions & explanations for SSAT Elementary Level Math

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Example Questions

Example Question #1 : Whole And Part

\(\displaystyle \square+4+3=19\)

Possible Answers:

7

12

9

26

Correct answer:

12

Explanation:

To find a whole, add the three parts.  First, add the two known parts together:

\(\displaystyle \square+4+3=19\)

Since one of the parts is still missing, think: 

what (part) plus 7 (part) equals 19 (whole)?

\(\displaystyle \square+7=19\)

The missing part is 12.

Example Question #2 : Whole And Part

\(\displaystyle Sandra\;earns\;\$7/hour\;and\;works\;for\;5\;hours.\)

\(\displaystyle How\;much\;money\;did\;she\;earn?\)

Possible Answers:

\(\displaystyle \$12\)

\(\displaystyle \$35\)

\(\displaystyle \$30\)

\(\displaystyle \$32\)

Correct answer:

\(\displaystyle \$35\)

Explanation:

\(\displaystyle 5\times \$7=\$35\)

Example Question #2 : Whole And Part

Harry weighs 87 pounds. Zayn weighs 94 pounds. What is the total weight of the two boys?

Possible Answers:

\(\displaystyle 176\ pounds\)

\(\displaystyle 157\ pounds\)

\(\displaystyle 181\ pounds\)

\(\displaystyle 218\ pounds\)

\(\displaystyle 91\ pounds\)

Correct answer:

\(\displaystyle 181\ pounds\)

Explanation:

Since we want to find the combined weight of the two boys, we need to add the individual weights together.

\(\displaystyle 87 + 94 = 181\)

Example Question #3 : Whole And Part

Jon weighs \(\displaystyle 134\) pounds. Kenny weighs \(\displaystyle 189\) pounds. What is Jon and Kenny's total weight?

Possible Answers:

\(\displaystyle 371\ pounds\)

\(\displaystyle 408\ pounds\)

\(\displaystyle 323\ pounds\)

\(\displaystyle 171\ pounds\)

\(\displaystyle 352\ pounds\)

Correct answer:

\(\displaystyle 323\ pounds\)

Explanation:

To find Jon and Kenny's total weight, we need to add their individual weights together!

\(\displaystyle 134 + 189 = 323\)

Example Question #4 : Whole And Part

Aidan has \(\displaystyle \$ 153\) in his piggy bank. Shay has \(\displaystyle \$ 92\) in her piggy bank. How much money do they have together?

Possible Answers:

\(\displaystyle \$237\)

\(\displaystyle \$299\)

\(\displaystyle \$305\)

\(\displaystyle \$218\)

\(\displaystyle \$245\)

Correct answer:

\(\displaystyle \$245\)

Explanation:

Since we are asked to find the total amount of money that Aidan and Shay have together, we should add!

\(\displaystyle \$153 + \$92 = \$245\)

 

Example Question #5 : Whole And Part

John weighs \(\displaystyle 163\) pounds. Bessie weighs \(\displaystyle 191\) pounds. How much do they weigh together?

Possible Answers:

\(\displaystyle 324\) pounds

\(\displaystyle 313\) pounds

\(\displaystyle 287\) pounds

\(\displaystyle 354\) pounds

\(\displaystyle 382\) pounds

Correct answer:

\(\displaystyle 354\) pounds

Explanation:

Since we are asked to find the combined weight of John and Bessie, we should add!

\(\displaystyle 163 + 191 = 354\)

Example Question #3 : Whole And Part

Barry just received a 13 percent increase in his weekly salary. If he now earns $187.58 each week, what was his weekly salary before the pay raise?

Possible Answers:

\(\displaystyle \$174\)

\(\displaystyle \$212\)

\(\displaystyle \$170\)

\(\displaystyle \$166\)

\(\displaystyle \$163\)

Correct answer:

\(\displaystyle \$166\)

Explanation:

Because his new salary is a 13% increase from his old salary, he's now earning 113% of what he earned previously.  Translate this into an equation and solve for x, Barry's old weekly salary:

\(\displaystyle 1.13X = 187.58\) 

Divide both sides by 1.13 to isolate x:

\(\displaystyle X = \frac{187.58}{1.13} = 166\)

Example Question #8 : How To Find The Whole From The Part

George and Kate want to start a roller hockey league with \(\displaystyle 8\) teams. Each team needs \(\displaystyle 1\) goalie, \(\displaystyle 2\) defenders, \(\displaystyle 2\) wings, and \(\displaystyle 1\) center.

If George and Kate both play in the league, how many more players must they recruit for all \(\displaystyle 8\) teams to be filled?

Possible Answers:

\(\displaystyle 46\) players

\(\displaystyle 50\) players

\(\displaystyle 38\) players

\(\displaystyle 48\) players

\(\displaystyle 40\) players

Correct answer:

\(\displaystyle 46\) players

Explanation:

The league will have \(\displaystyle 8\) teams. Each team will have \(\displaystyle 6\) players, since the positions needed add up as follows: \(\displaystyle 1 + 2 + 2 + 1 = 6\)

Multiply the number of teams by the number of players needed for each team to get the total number of players that will be in the league:

\(\displaystyle 8 \times 6= 48\) players

Since George and Kate will be \(\displaystyle 2\) of the players in the league, subtract \(\displaystyle 2\) from this total to get the number of people they must recruit:

\(\displaystyle 48 - 2 = 46\) players

Example Question #1 : Whole And Part

What number is one thousand? 

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 100\)

\(\displaystyle 1,000\)

\(\displaystyle 10,000\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 1,000\)

Explanation:

\(\displaystyle 1,000\) in word form is one thousand. 

Example Question #2 : Whole And Part

What number is one hundred?

Possible Answers:

\(\displaystyle 100\)

\(\displaystyle 10,000\)

\(\displaystyle 1\)

\(\displaystyle 10\)

\(\displaystyle 1,000\)

Correct answer:

\(\displaystyle 100\)

Explanation:

\(\displaystyle 100\) in word form is one hundred. 

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