# Grade - examples - page 167

1. Book
Jitka read on holidays book that has 180 pages. In the first week read 45 pages. In the second week she read 15 pages more than the first week. How many pages left to read it yet?
2. Obtuse angle
Which obtuse angle is creating clocks at 17:00?
3. The rope
A 68 centimetre long rope is used to make a rhombus on the ground. The distance between a pair of opposite side corners is 16 centimetres what is the distance between the other two corners?
4. Classroom
There are eighty more girls in the class than boys. Boys are 40 percent and girls are 60 percent. How many are boys and how many girls?
5. Series and sequences
Find a fraction equivalent to the recurring decimal? 0.435643564356
6. Third member
Determine the third member of the AP if a4=93, d=7.5.
7. Alley
Alley measured a meters. At the beginning and end are planted poplar. How many we must plant poplars to get the distance between the poplars 15 meters?
8. Parabola 3
Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. ?
9. Mother and daughter
The mother is four times older than her daughter. Five years ago, her daughter was seven times younger than her mother. How many years do they have now?
10. Trees
A young tree is 16 inches tall. One year later, it is 20 inches tall. What is the percent increase in height?
11. Money split
Anton and Ferko got 2,500 euros together. The amount was split in 1:4 ratio. How much did each get?
12. Folded square
ABCD is a square. The square is folded on the midpoint of AB and A is folded onto the fold, creating a shaded region. The perimiter of the shaded figure is 75. Find the area of square ABCD
13. Thermometer
thermometer showed -12 degrees Celsius at the morning then the temperature rises by 4 degrees and later again increased by 2 degrees at the evening has fallen by 5 degrees and then fall 3 degrees. What end temperature does the thermometer show?
14. Equation
Solve the equation: 1/2-2/8 = 1/10; Write the result as a decimal number.
15. MO Z8–I–6 2018
In the KLMN trapeze, KL has a 40 cm base and an MN of 16 cm. Point P lies on the KL line so that the NP segment divides the trapezoid into two parts with the same area. Find the length of the KP line.
16. Shirt
Mrs. Vítková bought each of his three children the same shirt paid CZK 1,000. Saleswoman she returned 568,60 CZK. What was the price of one shirt?
17. Write decimals
Write in the decimal system the short and advanced form of these numbers: a) four thousand seventy-nine b) five hundred and one thousand six hundred and ten c) nine million twenty-six
18. Hexagon cut pyramid
Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge us 12 cm, and the side edge length is 41 cm.
19. Right triangle from axes
A line segment has its ends on the coordinate axes and forms with them a triangle of area equal to 36 sq. Units . The segment passes through the point ( 5,2). What is the slope of the line segment. ?
20. Wagons and cranes
Several of the same cranes unloaded 96 wagons. If there were 2 more cranes there would be less 8 wagons for each crane. How many cranes were here?

Do you have an interesting mathematical example that you can't solve it? Enter it, and we can try to solve it.

To this e-mail address, we will reply solution; solved examples are also published here. Please enter e-mail correctly and check whether you don't have a full mailbox.