Examples for secondary school students - page 44 of 230
Number of problems found: 4582
- Identical 71234
How many ways can you divide two identical apples and: a) 3, b) 4, c) 5 identical pears between Janka and Mařenka?
- Expression 71224
The operation ♤ is defined by the relation A ♤ B = AB - A - B. What is the value of the expression 5 ♤ (4 ♤ 3) equal to?
- Probability 71204
On ten identical cards, there are numbers from zero to nine. Determine the probability that a two-digit number randomly drawn from the given cards is: a) even b) divisible by six c) divisible by twenty-one
- Probabilities 71194
We have a dummy die where numbers fall with probabilities P (1)=0.1; P (2)=0.2; P (3)=0.22; P (4)=0.16; P (5)=0.24; P (6)=0.08. Determine the probability that the two toss the same numbers.
- Distinguish 71184
We randomly choose a family with three children. We distinguish between gender and age. Determine the probability that: a) the youngest girl will be among the children b) all children will be of the same sex
- Probability - on the roll
Find the probability that one will fall at least once in three rolls.
- Loan pay back
Imagine a situation a student got access to a student loan of about 1000000 naira to pay all his fees throughout his undergraduate studies without having an extra year. He is expected to pay back the money five years after securing a job, and it took him
- Apples and bananas
If you pay $11 for one apple and nine bananas and $7 for three apples and one banana, how much do an apple and banana cost?
- Individual 70944
The merchant ordered 62 boxes of cucumbers from a vegetable grower. He wants to take 38 more boxes than small ones. How many individual boxes of cucumbers did the merchant order?
- Shopping trips
Luke bought some fresh produce. He picked up two oranges and three bananas. The cost of Luke's shopping was $18. Georgia also went to the same shop and bought five oranges and seven bananas. The cost of Georgia's shopping was $44. Write and solve a system
- RT = legs, circle
One leg of a right triangle ABC has length a= 14 cm and the radius of the circle inscribed in this triangle r= 5 cm. Calculate the length of the hypotenuse and its other leg.
- Calculate 70814
The lengths of the sides AB and AD of the rectangle ABCD are in the ratio 3:4. A circle k with a diameter of 10 cm describes a rectangle. Calculate the side lengths of a given rectangle.
- Fertilizer mixture
A fruit company uses two types of fertilizers in an orange grove, brand A and brand B. each bag of brand A contains 8 pounds of nitrogen and 4 pounds of phosphoric acid. Each bag of brand B contains 7 pounds of nitrogen and 6 pounds of phosphoric acid. Th
- Variations 70724
If we increase the number of elements by 2, the number of variations of the second class without repetition increases by 22. How many elements do we have initially?
- Combinations - elements
If we increase the number of elements by 1, the number of combinations of the third class without repetitions increases by 10. How many elements do we have?
- An account
Seth has $9,399 in an account. The interest rate is 4 17/20% compounded annually. To the nearest cent, how much will he have in 2 years?
- GP 3 members
Given that 49, X, and 81 are consecutive terms of a geometric progression, find: A. The value of x B. Geometric mean
- Gold ring
A gold ring with a width of 1 cm is made by drilling a sphere with a radius of 1 cm through its center. A gold bracelet with a width of 1 cm is made by drilling a sphere with a radius of 4 cm through its center. Which piece of jewelry will be worth more i
- Freezer 70664
There are a total of 38 ducks in the freezer. Of these, 24 weigh more than 1.2, and 22 ducks weigh less than 1.5. How many ducks weigh more than 1.2 and less than 1.5 kg?
- Calculate 70634
The axial section of the cylinder is a rectangle with a diagonal of u = 20 cm. The height of the cylinder is twice the diameter of the base. Calculate the cylinder volume in liters.
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