Showing posts with label math exercises. Show all posts
Showing posts with label math exercises. Show all posts

Dare To Think IV


DARE TO THINK IV

EXERCISE

F1 Auto Racing

Draw the pole position in PowerPoint.

Read, understand and solve the problem:

Eight cars of different makes and colours, are aligned together. They will run in the next F1 race. Establish the exact pole position according to the following facts:

The FERRARI is between the RED car and the GREY.

The GREY car is at the left of the LOTUS.

The MCLAREN is the second car to the left of the FERRARI and the first to the right of the BLUE car.

The TYRELL doesn't have any car to the right and it's after the BLACK car.

The BLACK car is between the TYRELL and the YELLOW car.

The SHADOW doesn't have any car to the left and it's to the left of the GREEN CAR.

At the right of the GREEN car is the MARCH.

The LOTUS is the second car to the right of the PURPLE car and it's the second car to the left of the BROWN.

The LOLA is the second car to the left of the ISO.

E-mail your answer or request the solution.

Dare To Think III

DARE TO THINK III

EXERCISE.

WEIGH SCALE

Analyse the following problem and represent it in some application of the computer. You can use Paint, PowerPoint, Excel, Word or any other software.

Problem:

You have 9 scales.

8 of them have the same weight.

1 of them is different.

All of them are mixed up.

You have a weigh scale to get the weight of each one, but the only CONDITION is that you can use ONLY two times the weigh scale.

What do you do to know which is the different scale?

Scales: O O O O O O O O O

E-mail your answer to the teacher, or request for the solution.

Easy!

Dare To Think II


DARE TO THINK II.

EXERCISE.

Math & Programming.

Read and understand the instructions to solve this problem.

1. Open Pascal Language.

2. Analyse the image.

3. You need to build a box with a sheet of paper that measures 28 x 22 cms. The box most contains the MAXIMUM volume possible.

4. The height is defined by “x”.

5. ¿How much does “x” should measure to obtain the maximum volume?

6. Make a program in Pascal to solve this problem.

7. After the solution in PASCAL, solve it in MS EXCEL and graph it.

8. Save your solutions and e-mail them to the teacher.

9. Close all applications.

10. Thanks.

Aprox. Time to solve it: 120 min.

Dare To Think I

DARE TO THINK

EXERCISE I:

CALCULATOR PRACTICE.

I) Arithmetic (Standard Calculator):

34 + 45 * 23 – 65 = _____________________

560.90 + 234.76 * 9 / 3.333 + 78.60= _____________________

213 + 0.000025 – 54.70 – 45 / 2.50= _____________________

27.40 * 34 + 90 – 54.70 – 45.000 / 2= _____________________

12 * 3 * 3 + 3 + 3.33 * 2.333 / 1.1= _____________________

45.36 – 25.6666 – 45.78 * 1.15 + 2= _____________________

II) ALGEBRA (Scientific Calculator):

48 * 537.9 + 34.90 – 10.13 * 78 + 2 ^ 3= _____________________

45 * (537.9 + 34.90 – 10.13) * 78 + (2 ^ 3)= _____________________

123 + 56.80 * 34 – 23.900 * (35 + 22.5784)= _____________________

(123 + 56.80) * (34 – 23.900) * 35 + 22.5784= _____________________

571 – 321.52 + 8 ^ 2 – 120.170= _____________________

(571 – 321.52 + 8) ^ 2 – 120.170= _____________________

(571 – 321.52) + 8 ^ 2 – 120.170= _____________________

(571 – 321.52) + ( 8 ^ 2) – 120.170= _____________________

(12 * 2) ^ 3= _____________________

12 * 2 ^ 3= _____________________

III) CONVERSIONS: Use the correct calculator to solve the next math operations:

1 inch= 2.54 cm.

1 pound= 0.45 kg.

1 acre = 0.40 ha.

1 mile= 1.61 km.

1 gallon= 3.785 lt.

1 yard = 0.9144 m.

1ºC = 33.8°F

32 inches are: _____________________________ cm.

67 centimeters are: ___________________________ inches.

56.90 pounds are: _____________________________ kilograms.

78.300 kg. are: ______________________________ pounds.

2390 acres are: ______________________________ ha.

212 ha are: ____________________________ acres.

1001.90 miles are: ___________________________ kilometers.

365.60 km. are: _____________________________ miles.

300.70 gallons are: ___________________________ liters.

4500.8000 liters are: __________________________ gallons.

65.987 yards are: ____________________________ meters.

3490 meters are: _____________________________ yards.

2899ºC are: _______________________________ ºF

345ºF are: _________________________________ ºC

1001.0ºC are: _______________________________ ºF