Arithmetic reasoning PiCat Questions and Answers 2023

Arithmetic reasoning PiCat Questions and Answers 2023 Area of a square a^2 If the perimeter of a square garden is 84ft what is the area? - square has 4 sides - 84/4= 21 - Area of a square= a^2 - 21^2= 441sq ft How many ft of chain fence are necessary to enclose a dog pen that square and has an area of 64ft ? - Area of a square= a^2 - So the sq rt of 64=8 - Square has 4 sides= 8*4= 32 If a 5ft pole casts a shadow of 8ft at the same time a nearby tree casts 48ft shadow. How tall is that tree? - 8ft/5ft = 48ft/x (cross multiply) - 548= 240 & x48= 48x - 240= 48x - 240/48= 30ft tall A woman is looking for a bigger square office. She finds an office twice the area of her current office. If the perimeter of her current office is 88ft. How many square ft is the new office? - Square has 4 sides - 88/4= 22 - Area of a square a^2 - 22^2= 484 - Twice the area of current office 484*2= 968ft A pie was cut into two equal pieces. Each of the pieces of pie was cut into halves again, and each of those smaller pieces was cut into two equal pieces. If two of the pieces of the pie were eaten what portion of the pie remains? - 8 pieces of the pie in total (2+2+4) - 2 pieces were eaten - 6 pieces are left - 6/8 = 3/4 A pizza is cut into 8 equal pieces. A person who eats 1/2 of one piece eats what fraction of the pizza? - You have 8 slices of pizza - A person eats 1/2 of one slice - To be equal you now have 16 slices (ea in halves) - The person ate 1/16 of the pizza The pet store has six puppies selling for 104$ each and twelve kittens selling for 24$ each. Today only two puppies and eight kittens were left. In dollar terms what is the ratio of sales puppies to kittens? - Puppies: 6-2= 4 Kittens: 12-8= 4 - Puppies: $1044= $416 Kittens: $244= $96 - Ratio: $416 : $96 (put this into simplest form) - 416/8= 52 : 96/8= 12 Ratio: $52 : $12 - 52/4= 13 : 12/4= 3 Ratio: $13 : $3 (simplest form) There are 9 red and 6 green marbles in a bag. A child reaches in the bag and randomly takes out one marble what is the probability that child got a green marble? - 9+6= 15 - 6/15= .4 - 40% chance the child gets a green marble The price of salmon at a fish market is 5.40 per lb. This is 150% increase of its costs at a supermarket. How much would it cost per lb at the supermarket? - Fish market: $5.4 per lb - Supermarket: 150% less than $5.40 - 5.4/1.5= 3.6 - Supermarket costs: $3.60 per lb A plumber has a car payment of $250 per month. $225 of which goes to paying off the principal, and the rest goes towards the interest. What percent is being payed for interest? - 250*.10= 25.00 - 250-25= 225 - interest: 10% Debra and Ian shared in a $1,000,000 estate. If Ian received $125,000 and Debra received the rest, what fraction did Debra receive? - 1,000,000/125,000= 8 - 125,000= 1/8 of 1,000,000 - 8/8-1/8= 7/8 A printing company will print 6,000 copies in 20mins. A second press can print 15,000 in 60mins. How many more copies per minute will the faster press print than the slower press? - Printing press 1: 6,000/20= 300 pages per min - Printing press 2: 15,000/60= 250 pages per min - 300-250= 50 pages per min