SAT Test Questions
Sample 1 - A store was charged $12.60 for a particular item. If the store wants to make a profit of 10% of their selling price, what would a customer have to pay for each item?
Trial and error:
$12.60 ---- cost per item
If sell for $13.00, then profit is 10% of $13.00 or $1.30
$1.30 + $12.60 = $13.90
Therefore, $13.90 is more than $13.00 so it needs to be sold for more than $13.00.
What about $14.00, that doesnÕt seem to enough either, but IÕll see how much it changes and decide from thereÉ. WOW! 10% of $14.00 is $1.40 and $12.60 + $1.40 = $14.00É COOL!
Algebra
x = selling price
y = mark up
.1x = y
y + $12.60 = x
x - $12.60 = y
.1x + $12.60 = x
Guess
$12.60/.9 = x ; Think how many .9 are in 12.6 (there are 12 ones so if there needs to be more than 12 .9) (there are 10 nine tenths in nine, and two nine tenths are 1.8 so four would be 3.6 and 9 + 3.6 = 14.) COOL!
Question 2 - A shipper has boxes that are cubes 2x2x2. The largest box the shipper has on hand is 5x6x8. How many cubes will fit in the larger box?
Reasoning
8 cubic units and 240 cubic units,
240 cubic units / 8 cubic units = 30 boxes.
Draw a picture
Cube 2x2x2.
Large box 5x6x8
Measure large box in cubes by marking on the edges.
2 box lengths x 3 box lengths x 4 box lengths = 24 boxes