1.Ifaandbareintegers,10Ä3=1,152Ä7=3,andthen379Ä6isequalto.2.Twonumbersareintheratio2:3.When4isaddedtoeachnumbertheratiochangesto5:7.Thesumofthetwooriginalnumbersis.3.ThegreatestnumberofM

Question

1.If a and b are integers,10Ä3=1,152Ä7=3,and then 379Ä6 is equal to_____.
2.Two numbers are in the ratio 2 :3.When 4 is added to each number the ratio changes to 5 :7.The sum of the two original numbers is____.
3.The greatest number of Mondays which can occur in 45 consecutive days is____.
4.Saul plays a video game in which he scores 4 for a hit and lost 6 for a miss.After 20 rounds his score is 30.The number of times he has missed is____.
5.Three girls A,B and C run in a 100 m race.When A finishes,B is 10 m
behind A and when B finishes C is 20 m behind B.How far in metres was C from A when A finished?
(Let’s assume all the athletes run at a constant speed)
6.The areas of the faces of a rectangulabox are 84 cm2 ,70 cm2and 30 cm2.The volume of the box in cm3 is____.
7.You have 3 weights:1 kg,3 kg and 9 kg as well as an equal arm balance,as shown.How many different weight objects can you weigh with these three?
[Remember the weights may be placed on either side]

Answer 1

1.意思是10除以3余1,152除以7余3（应该是5,怀疑你打错了）,379除以6余几,答案是1
2.两个数字互相的比是2：3,同时加4,相互比就成了5：7,原先的2个数和是多少?
设原来的2个数为2x和3x,得出方程（2x+4）/(3x+4)=5/7,解得x=8
所以原来的2个数为16和24
所以题目的答案为40
3.连续45天里,最多出现多少个礼拜一?
答案是7个
4.Saul(还是Paul?)玩游戏,赢一局得4分,输一局扣6分,玩了20局,总分是30,他输了几次?
答案是赢15次,输5次
5.有3个女孩A,B和C在跑100米比赛,A到终点时,B落后A10米,B到终点时,C在B后面20米.问A到终点时,C落后A多少米?（假设都是匀速跑）
答案：B的速度是A的90%,C的速度是B的80%,则C的速度是A的72%,C落后A28米
6.长方体的3个不同的表面的面积分别是84平方厘米,70平方厘米和30平方厘米,问它的体积
答案：设3条边为a,b,c
ab=84,bc=70,ac=30,解得a=6,b=14,c=5
所以体积=abc=420（立方厘米）
7.你有3个砝码,分别是1公斤,3公斤和9公斤,以及一个天平,如图所示.你能用这些东西测量出多少种不同重量?（注意,砝码可以都放在天平同一侧）
答案：1,3,9,4,10,12,13,2,8,6,5,11,7
总共13种