Math practice for 13 year olds - page 116 of 413
Number of problems found: 8253
- Spherical layer
What is the volume of the spherical layer that remains after cutting the paragraphs on both sides of the ball, whose height is 3.5 cm? Is the diameter of the ball 24 cm? - Pump power
Determine the pump power if: I pour 3 m³ of water from the tank in 120 seconds with a hose. The height of the hose mouth above the tank is 1.5 m. The water's speed from the hose outlet is 20 m/s. - Fraction and ratios
Fraction and ratios are different names for the same thing. - Miloš 2
Miloš works in an optician's. He helps his friend Martin with the selection of lenses for prescription glasses. These can have: - a special anti-scratch treatment, - anti-reflection – ensures greater permeability of light into the eye, - photochromic – da - TV screen width
The diagonal of the TV screen is 82 cm, and the height is 40 cm. Calculate the width of the screen. - Sarrah
Sarrah bought cupcakes for her family. Thirty-six cupcakes are chocolate, and the rest are red velvet. If 80% of all the cupcakes she bought are chocolate, how many red velvet cupcakes did she buy? - Pavement around the house
The pavement around the Vyberar family's house has two parts with a total length of 19 metres. The longer part of the pavement is 1 metre shorter than three times the length of the shorter part of the pavement. Decide for each of the following statements - Friends' meeting
Friends Jenda and Martin live 13 kilometres apart. Jenda went to Martin by bicycle at an average speed of 18 km/h, and Martin at the same moment set out to meet him on a scooter. Half an hour after setting off, they met. a) Calculate in kilometres per hou - Mandarin bowl initial
When the lion took two mandarins from the bowl and Millie took one-fifth of the rest, four mandarins remained in the bowl. How many tangerines were initially on the dish? - The tempture
The temperature increased 13 °F between 6 AM and 3 PM. The temperature at 3 PM was 70 °F. What was the temperature at 6 AM? - Reverse percentages
A washing machine that is on sale has a price tag of R 1 240, representing a discount of 22.5% off the original price. What was the original price? - An amusement 2
An amusement park sells child and adult tickets in a ratio of 8:1. On Sunday, they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Sunday? - Baking a cake
Christy is baking a cake with a 9-inch diameter. She wants to cover the top with buttercream icing. How much icing will she need? - The average 5
The average of the two numbers is 9.5. One of the numbers is 11. What is the value of the other number? - Car opposite speeds
From cities A and B, which are 50 km apart, two cars set off in the same direction simultaneously with average speeds of 80 km/h and 120 km/h. How long will the faster car reach, the slower one, and at what distance from city A? - Tractor hectare plowing
Tractor drivers plow "h" hectares of land per day. How many hectares of land would they have to plow per day to plow the 585 ha area three days earlier than planned? For which "h" does this problem have a positive solution? - Two numbers
Numbers A and B differ by 95. If from number A we subtract two thirds of it, we get the same result as when we add three fifths to number B. Decide for each of the following statements whether it is true (T) or not (N). a) The larger of the two numbers is - Apple average weight
The basket contains five red apples with an average weight of 125 grams and one yellow apple. The average weight of all apples in a basket is 120 grams. Determine the weight of the yellow apple in grams. - Circle chord distance
The figure shows the circles k₁(S₁; r1=9 cm) and k₂(S2; r2 = 5 cm). Their intersections determine a common chord t 8 cm long. Calculate the center distance |S₁ S₂| in cm to two decimal places. - Temperature - change The thermometer showed -2 °C in the morning. By lunch, the temperature had risen by 5 °C. The temperature had dropped by 13 °C till midnight. What temperature in °C did the thermometer show at midnight?
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