Math practice for 13 year olds - page 154 of 413
Number of problems found: 8253
- Center of gravity and median
In the isosceles triangle ABC, the center of gravity T is 2 cm from the base AB. The median parallel to the AB side measures 4 cm. What is the area of the ABC triangle? - Diamond PQOR
In the diamond PQOR, the diagonal RQ is 4 cm long, and the angle RPQ is 60°. What is the circumference of this diamond? - Draw SSA triangle
Draw a triangle ABC if you know: alpha = 60° side b = 4 cm side a = 10 cm - Big school kitchen
Suppose 250 learners can be fed by 75 kg. How many kg can 600 learners be fed? - Smartphone weekly production
The factory produced 2,420 pieces of smartphones in February. How many smartphones did they make in weeks 1 and 2, when they increased production by 20% in weeks 3 and 4? - Hour salary + fix
Devin recently hired a contractor to do some necessary work. The contractor quoted $395 for parts plus $62 an hour for labor. Let x represent the number of labor hours worked. Write an algebraic expression to represent the total cost of the repairs. - Sean Junkins
Sean Junkins works at X-Mobile. His pay is easily calculated using the expression 12 h+8c, where h is the number of hours he works and c represents the number of phones he sells. Would Sean Junkins make more money if he worked 37 hours and sold three cell - Chess pieces
The box contains five black chess pieces. How many white pieces should we add to it so that the probability of pulling out a black piece is 1:4? - Lead melt
Find the heat needed to melt an object made of lead weighing 250 g and an initial temperature of 35 °C. Lead melts at 327 °C at normal pressure. Mass heat capacity of lead c = 129 J/kg • K and mass latent heat of lead lt (t is the subscript) = 22.6 kJ/kg. - Start number probability
There are 1 to 20 start numbers in the draw. What is the probability that the first downhill racer drawn will have a start number less than 6? - Right key
The hostel has 4 rooms. The keys to each room are not numbered. Each of the four guests took one key. What is the probability that everyone took the right key? - Chocolate tree weight
Chocolate pieces hang on a Christmas tree. One-third is made of milk chocolate, two-thirds of the rest is dark, and 200 g is white chocolate. How much do all the pieces weigh together? - The pool
A pool contains 210 litres of water, which fills it to 30% of its total capacity. What is the total volume of the pool in litres? - In PE
In PE, students play a game where they do different exercises depending on the color of the marble that Coach Forbes draws. Coach Forbes has a jar with 6 red marbles, 12 blue marbles, 16 purple marbles, 2 green marbles, and four yellow marbles. What is th - Construct
Construct a rhombus ABCD with side a = 7 cm, b = 5 cm, whose diagonal e is perpendicular to side b. - Rectangle ABCD
The rectangle ABCD is given whose | AB | = 5 cm, | AC | = 8 cm, ∢ | CAB | = 30°. How long is the other side, and what is its area? - The gable
The house's gable is an isosceles triangle with a base length of 14 meters and arms lengths of 8 meters. What is the tall gable of the house? - Three towns and roads
If there are three roads from town A to town B And four roads from town B to town C, how many ways can one go from town A to town C and back to town A, through town B, without passing through the same road twice? - What power
What power should a radiator have in a room measuring 5 × 4 metres with a height of 3 metres? Hint: Use 35 watts per m³ for rooms requiring 22 °C, or about 40 watts per m³ for bathrooms requiring 24 °C. This is a rule of thumb for estimating heating requi - Volleyball free event
A volleyball costs €20. A wholesale sporting goods store is running a "buy 8, get 1 free" promotion. How many euros will the sports section pay if they order 39 balls from this store?
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