Answers for Creative Math Test Part 2 - MKI IQ Test Questions 11-20

Here is the answers for the Part 2: Concept of Number Training B (Question 11-20)


11. 3 21

12. 22 times.

13.（5+1）×5+1 = 31 

14. ×, -, ÷, × | ×, -, ÷, +

15.（30÷6+1）x 2 = 12 flags

16. Total number of sheep is 15. When I first thought of "Half, but no sheep was killed, and there was no remaining" in the title, I deduced that the total must be the base. This question needs to be pushed forward. Assuming that the number of sheep allocated to the eldest daughter is x, the second son is allocated 2x, the eldest son is allocated 4x, and the wife should be allocated 8x. Therefore, the total number of sheep is: x+2x+4x+8x=15x. And because the wife is divided into half of all sheep plus half, then 15x÷2+0.5=8x, x=1.

17. Because the two ropes are cut to the same length, the difference between the lengths of the two ropes has not changed. The remaining length of rope A is twice that of rope B, which is actually (2-1) times longer than rope B. The length is a standard number. The remaining length of rope B is (53-39)÷(2-1)=14 (meters), the remaining length of rope is 14×2=28 (meters), and the cut length is 39-14=25( Meter)

18. The distance between Nanjing and Shanghai is 120÷100×240 = 288 kilometers. From the meaning of the question, if it is assumed that the ratio of the original vehicle speed and the speed after the speed increase of 1/7 is 7: 8, then the time ratio used is 8: 7, the time difference is "1", which is exactly 30 minutes, so the original planned time It was 240 minutes; when returning the next day, the speed was increased by 1/6, so the time was shortened by 20 minutes, and the time ratio of the journey after the return was increased was 7:6. The time difference is also "1", 20 minutes, that is, it takes 120 minutes to return to the speed-up. The originally planned time is 140 minutes, so the driving time for 120 kilometers is 240-140=100 minutes. 

19. The thinking mode of this question is the reverse thinking mode of the typical chicken and rabbit cage problem. Assuming that all 10 boats have 4 people, then the total number of people that can sit on 10 boats is 4×10=40 people. There are actually 46 students, 6 more students than assumed. This is because there are boats that can take 6 classmates, and 2 more classmates can actually sit. From this, it can be calculated that type A is 6÷2=3, and type B is 7.

20. The time taken by Hippo to complete the course is 5.4÷3×60=108 minutes, and the time taken by the elephant on the road is 5.4÷20×60=16.2 minutes, then the time taken by the elephant to complete the course is 1+16+2+16+ 3+16+4+16+5+16+1.2=96.2 minutes, so elephant arrives first and is 108-96.2=11.8 minutes faster than hippo.


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