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Arithmetic Reasoning Test Improvement
!! Peterson's Test #1 # take percentage; avoid confusion (negation) - "53% of the 1000 students at Barnett High are girls. How many boys are there in the school?" # cross-multiply - "If four bananas cost 72ยข, how many dozen bananas can be bought for $5.40?" # cross-multiply (with 1) - "Limes are on sale at a price of 8 limes for $1. How much do two limes cost?" # distributive property - "Which quantity is NOT equal to 75(32 + 88)?" # avoid confusion - "A truck with room for 200 bales of hay has room for how many more bales if it is one-half full already?" # make change (long subtraction) - "Bob buys popcorn for $4.65 using a five-dollar bill. How much change will he receive?" # cross-multiply (with 1) - "How many 1.5-inch thick boards will fit into a box that is 18 inches tall?" # cross-multiply - "If potting soil is sold in 20-pound bags for $5.20 each, the price of 160 pounds of potting soil is" # ignore distractions; reduce fraction; convert units - "A man bought 3 dozen eggs at the store. There are a dozen eggs in each carton. When he got home, he discovered that 2 eggs in each of the cartons were broken. What part of the eggs was not broken?" # calculate discount - "A jacket costing $96 is discounted by 20 percent. What is the discounted price of the jacket?" # cross-multiply - "On a house plan on which 2 inches represents 5 feet, the length of a room measures 7 1/2 inches. The actual length of the room, in feet, is" # calculate discount (compound) - "An appliance store gives a 15% discount off the list price of all of its merchandise. The store gives an additional 30% discount for a floor model. A television set that has a list price of $300 and is a floor model sells for" # packing - "Craig spent exactly one dollar to buy 3-cent stamps and 5-cent stamps. The number of 5-cent stamps that he could NOT have bought is" # cross-multiply (with 1) - "A machine punches cards at a rate of 400 per hour. How many hours has the machine been working if it has already punched 1,800 cards?" # rate arithmetic - "A teacher has 200 tests to grade. If he can grade 40 tests per hour, the number of tests remaining to be graded after he has worked for 3 hours is" # calculate price increase - "The sticker price of a car is $19,800. If the tax increases the price by 11% and the title increases it by $480, what is the total cost of the car?" # cross-multiply - "Two inches of track on a scale model railroad represents 20 real miles. On the same model, a distance of 55 real miles is represented by how much track?" # time arithmetic - "A nurse worked a double shift from 8:45 a.m. Thursday to 3:15 p.m. the next day. If she is paid $20 per hour worked, how much money did she make on this double shift?" # calculate percentage - "A retailer pays $120 for a stereo and sells it for $195. The retailer's profit is what percent of the price he paid for the stereo?" # cross-multiply; convert units - "Roy needs to carpet a room that measures 12 feet wide and 15 feet long. What will it cost to carpet the room if carpeting costs $20.80 per square yard?" # rate arithmetic - "A car that averages 21 miles to the gallon starts a trip with a full 10-gallon tank of gas. If the car travels 150 miles, how many more miles can it go before the tank is empty?" # profit - "If a man buys lemons at 3 for 30 cents and intends to sell them at 5 for 60 cents, how many lemons does he have to sell in order to make a profit of 50 cents?" # calculate percentage - "The price of an Allen wrench was reduced from 31 cents to 28 cents. The percent of decrease is approximately" # unit cost ($) - "Ms. Smith wants to buy 72 ounces of canned corn for the least possible cost. Which of the following should she buy?" # know ounces in quarts; reduce fractions - "Four fluid ounces is what fractional part of one quart?" # cross-multiply - "At a price of 99 cents per dozen eggs, the cost of 16 eggs is" # simple interest; avoid confusion - "A man invests $10,000 in a bond that pays him $5.12 annually for every $100 he invests. How much is he paid at the end of the year?" # packing - "A plumber needs eight pieces of pipe, each 3 feet 2 inches long. If pipe is sold only in sections of 10 feet each, how many sections must he buy?" # average two different rates - "A truck driver travels a certain distance at 60 miles per hour and returns over the same road at 40 miles per hour. What is her average rate for the round trip?" # work equation (cross-multiply) - "Six tractors can plow a cornfield in 8 hours if the farmers all work together. How many hours will it take 4 tractors to do the job?"
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Last changed: 2011/04/28 15:19