Test questions of mathematics application and exploration ability in the fifth grade of primary school
First of all, simple calculation
6.5÷ 1.25÷8 1.25×0.25×0.05×64
=6.5÷( 1.25×8) = 1.25×0.25×0.05×8×2×4
=6.5÷ 10 = 1.25×8×0.25×4×0.05×2
=0.65 = 1
+( - ) 4.9×4+5. 1÷0.25
=23/30 =4.9×4+5. 1×4
=(4.9+5. 1) ×4
=40
fill (up) a vacancy
1, Xiao Ning mistook addition for multiplication when calculating an addition problem, and got 1 10. Knowing that the difference between these two addends is only 1, the correct result is (2 1).
2. Divide 14 by the sum of several natural numbers, and then multiply these natural numbers to get the maximum product (120).
The fourth digit after the decimal point of 3.50÷7 quotient is (8), and the100th digit after the decimal point is (8).
4. In series 7, 10, 13, 16, 19 ... The eighth number is (28), and 907 is (30 1).
5. The average height of the three students is 130cm. If one more student is added, their average height will reach 132cm. The height of this later student is (138) cm.
6. After the decimal point of a number is moved one place to the left, it will be 25.56 less than the original, and the original number is (28.4).
7. Use the five numbers 3, 4, 5, 8 and 9 (the numbers are not used repeatedly every time). If a two-digit multiplication formula is formed, the product of (94 )×( 85) is the largest; If the formula of multiplying three digits by two digits is formed, the product of (489 )×( 35) is the smallest.
8. Give a group of people a basket of apples. There are 5 apples per person, and there are 16 apples left. There are 20 apples short of 7 apples per person. There are (18) people in this group. * * * There are (106) apples.
9. Party A, Party B, Party C and Party D bought 10 loaves of bread and shared them equally. Party A paid for six cakes, while Party B and Party C only paid for two cakes (Party D didn't bring any money). After eating, Ding takes out 1.25 yuan and Party A takes it back (1.75 yuan).
Britain, France, Russia and the West
A B C D
10. In the figure on the right, the shaded BCGF is square, the line segment FH is 30 cm long and the line segment AC is 50 cm long. Find a large length.
The circumference of a square ADHE is (160) cm.
Third, the application problem.
1, A and B are 3300m apart. A starts from A and B at the same time and runs back and forth between A and B. A runs 300 meters per minute and B runs 250 meters per minute, and stops exercising after 35 minutes.
How many minutes did it take A and B to meet for the first time?
(2) How many times have two people met?
①3300(300+250)= 6 (minutes)
②35÷6=5 (times) ... 5 minutes
A: Omit.
2. The school is going to issue 10 pencils to every student who takes part in the long-distance running as a souvenir. But three people didn't come this day, and as a result, two more people came each, leaving six. How many people actually come to participate in the long-distance running?
10×3-6=24 (branch) 24÷2= 12 (person)
A: Omit.
3. In the supermarket, the Xiaolong family bought 1 kg candy and 3 kg biscuits, and paid 35.6 yuan. Xiao Lijia bought the same candy and biscuits, each weighing 3 kilograms, and paid 62.4 yuan. How much are these sweets and biscuits per kilogram?
(62.4-35.6) ÷ (3-1) =13.4 (yuan) ...
(35.6- 13.4) ÷3=7.4 (yuan) ...
A: Omit.
4. Zhang Hua, a fifth grader, is with Li Yue's family. After school in the afternoon, Zhang Hua walked home at a speed of 150 meters per minute. Eight minutes after Zhang Hua left, Li Yue rode home and caught up with Zhang Hua in 10 minutes. How many meters per minute is it feasible to ride a bike in Li Yue?
(8+10) ×150 ÷10 = 270 (m/min)
A: Omit.
Guangyu construction team hired two trucks to transport 76 tons of cement from the building materials warehouse to the construction site. Large trucks can transport 5 tons each time, and the freight is in 85 yuan each time; The pickup truck can transport 3 tons each time, and the freight is in 60 yuan each time. How many times does it take to rent a big truck and a small truck to get the freight to the lowest cost? * * * How much is the freight?
76÷5= 14 (times) ... 6 tons