Math practice for 13 year olds - page 44 of 414
Number of problems found: 8262
- In prima, secunda and tertia
The numbers of children in Class 1, Class 2, and Class 3 are in the ratio 3:4:3. Class 1 and Class 3 together have 12 more children than Class 2. How many children are in Class 1? - Force gauge 2
A force gauge measured a gold necklace as Fg = 0.48 N in air and Fw = 0.45 N in water. Is it made of pure gold? - Flower - permutations
At a flower shop, there are 5 different kinds of flowers: tulips, lilies, daisies, carnations, and roses. There are also 3 different colours of vases: blue, green, and pink. If one kind of flower and one colour of vase are selected at random, what is the - Checkouts
When 4 checkouts are open in a supermarket, customers wait in line for an average of 12 minutes. By how many minutes does the waiting time increase when one checkout is closed? - At Junior's
A pizzeria offers pizza with tomato and cheese as a base. If a customer wishes, they may add toppings from the following options: ham, mushrooms, corn, and onion, each ingredient at most once. Every pizza is available in three sizes: small, medium, and la - Electrical 11
An electrical device produces 4.2 MJ of work per hour at an efficiency of 53%. What is the power input of this device? - Goalkeeper - success rate
Calculate the save percentage of a hockey goalkeeper who saved 30 out of 32 shots on goal during a match. - Beekeeper 2
A beekeeper has more than 190 kg and less than 200 kg of honey. If he divides it into 8 kg jars, 3 kg remain. If he divides it into 7 kg jars, how many kg remain? How many kg of honey does he have? - MDZ - theater
There are 798 men, women, and children in a theatre. The number of men is twice the number of women. The number of women is twice the number of children. How many men, women, and children are there? - Deep pool - bottom
A pool is 25 m long and 12 m wide. In one half of the pool, the depth is constant at 1.8 m; in the other half, the bottom slopes gradually up to a depth of 1.2 m. What is the total area of the pool bottom? - In the middle 2
The number halfway between an unknown number and the number 30 is 12. Determine the unknown number. - Postal extortion
Surely many were taken aback when, after ordering and paying for goods from China, e.g. from ebay, a shipment goes from person A (seller) to person B (buyer) to Slovakia. You pay the value of the goods, postage, and newly also VAT. You wait two months, an - On a job
On a job, Peter harvested 150 kg of apples and John harvested 130 kg of apples. They divided a reward of 2,660 CZK in proportion to the apples harvested. How much did each receive? - Path 11
A path 1.5 metres wide is to be built around the perimeter of a square plot of land with a side of 28 metres. By how much will the total occupied area increase? - Solve R
Solve the equation with brackets: 5 × (2u − 9) − 8 × (0.5 − 3u) = 4 × (7u − 1) − 3 - Branded
Branded trainers are now selling for 2,394 CZK. The seller first reduced the original price by 5%, and then reduced the new price by a further 10%. What was the original price? What was the total discount? How much of the original price represents 21% VAT - Aukro commission
Aukro - the Slovak and also the Czech versions charge various, non-transparent fees (fee for successful sale, commission, buyer protection, service fee). We therefore did a real experiment to determine how much actually Aukro takes. We sold and bought a b - Jewellery-maker
A jewellery-maker threads 5 beads in 20 seconds. A necklace consists of 210 beads, 30 are already threaded. a) Write an equation of the dependence of the number of threaded beads on time (in minutes), during which the jewellery-maker will be threading the - Morse code 2
We have two characters: a dot and a comma. How many two-character and three-character sequences can be created using them, with repetition allowed? - Triangle ABP
An isosceles trapezoid ABCD is given. The length of side AB is 10 cm, the length of CD is 7 cm, and the height drawn to side AB is 4 cm. Point P is the foot of the altitude from A to side AD. Calculate the area of triangle ABP.
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