Examples for secondary school students - page 139 of 237
Number of problems found: 4730
- Isosceles triangle
The leg of the isosceles triangle is 5 dm, and its height is 20 cm longer than the base. Calculate base length z. - Account operations
My PHP 90,000 savings in a bank earns 6% interest in a year. If I deposit an additional PHP 10,000 at the end of 6 months, how much money will be left if I withdraw PHP 25,000 after a year? - Flowers 2
Cha cruz has a garden. The ratio of roses to tulips is 2:5, and the ratio of roses to orchids is 7:6. Cha Cruz wonders what the ratio of tulips to orchids is. If Cha Cruz has 183 plants, how many of each kind are there? - Boys to girls
The ratio of boys to girls at a party is 3:5. If six more boys arrived and four girls left the party, the ratio of boys to girls would be 5:6. How many people were at the party initially? - Associative law multiplication
You obtain a 20% discount in a warehouse, but you must pay a 15% sales tax. Which would you prefer to have calculated first: discount or tax? Explain. (result write as: 1 = first discount, 2 = first tax, 3 = no matter what first) - Inverse matrix
Find out the inverse using Gauss elimination or the reduction method. A=[2/3. 1 -3. 1/3] - Calculate
Calculate the resulting speed of both vehicles after the collision of a car with a mass of m₁ = 1.5 tonnes travelling at 100 km/h and a truck with a mass of m₂ = 40 tonnes travelling at 90 km/h, if it is a head-on collision. Calculate the overload acting - Trigonometric formula
Determine the value of the function tg x (tangent) when cotan x = -0.8 (cotg or cotangent); x holds in the second quadrant) - SSA and geometry
The distance between the points P and Q was 356 m measured in the terrain. The viewer can see the PQ line at a 107°22' viewing angle. The observer's distance from P is 271 m. Find the viewing angle of P and the observer. - The pond
We can see the pond at an angle of 65°37'. Its endpoints are 155 m and 177 m away from the observer. What is the width of the pond? - Sphere from tree points
Equation of sphere with three-point (a,0,0), (0, a,0), (0,0, a) and center lies on plane x+y+z=a - Square root 2
If the square root of 3m² +22 and -x = 0, and x=7, what is m? - Expressions 3
If k(x+6)= 4x² + 20, what is k(10)=? - Octane value
I loaded 10L 95 octane gasoline and 5L 100 octane gasoline. What is the resulting octane value of the gasoline in the tank? - Sum of two primes
Christian Goldbach, a mathematician, found out that every even number greater than two can be expressed as a sum of two prime numbers. Write or express 2018 as a sum of two prime numbers. - Two people
Two straight lines cross at right angles. Two people start simultaneously at the point of intersection. John walks at the rate of 4 kph on one road, and Jenelyn walks at the rate of 8 kph on the other road. How long will it take for them to be 20√5 km apa - Population growth
How many people will be on Earth from two people for 5,000 years if every couple always has four children (2 boys and two girls) at the age of 25-35, and every man will live 75 years? - Median and modus
Rachel rolled a die 50 times. The table shows the frequency of each face: Face Number: 1 2 3 4 5 6 Frequency: 8 7 5 11 6 13 Calculate the mode and median of the face numbers that Rachel rolled. - Transformer
Solve the textbook problems - transformer: a) N1 = 40, N2 = 80, U2 = 80 V, U1 =? b) N1 = 400, U1 = 200 V, U2 = 50 V, N2 =? - Electric input power
Solve problems related to electric power: a) U = 120 V, I = 0.5 A, P =? b) P = 200 W, U = 230 V, I =? c) I = 5 A, P = 2200 W, U =?
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