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2016年第七届高思杯(4年级)-数学部分 试题卷A3黑白

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【学生注意】请把答案写在答题纸上,只填在原题上不得分.

考试时间70分钟,总分150分

一、 计算题(本大题共10小题,每题3分,共30分)

二、 填空题I (本大题共8小题,每题5分,共40分)

11. 4只鸡的价钱等于1个馒头和10个鸡蛋的价钱,

5只鸡的价钱等于1个馒头和14个鸡蛋的价钱.那么1个馒头的价钱等于_______个鸡蛋的价钱.

12. 奇奇和怪怪分别从A 、B 两地同时出发,相向而行,10分钟后两人相遇了.已知奇奇的速度是60

米/分,怪怪的速度是40米/分.怪怪从B 地到A 地一共需要_______分钟.

13. 小明的妈妈比小明大24岁,那么妈妈_______岁时,她的年龄是小明的9倍.

14. 豆豆的数学成绩是米米的2倍,也是丽丽的3倍,已知豆豆比丽丽多100分,那么米米考了_______

分.

15. 熊大要从下面五个球中挑出两个球,使得球上的两个数之和是奇数,那么一共有_______种不同的挑

法.

16. 右图的幻方中“☆”处是_______.

17. 吃货同学的妈妈要煲排骨汤给他喝,买食材10分钟,洗排骨5分钟,切蔬菜5分钟,烧热水10分

钟,煲汤30分钟,那么妈妈最少需要_______分钟才能煲完汤.

18. 有两个面积相等的平行四边形,按图中方式重叠放置,有三个部分的

面积分别是20、45、80,那么最下方部分的面积是_______.

三、 填空题II (本大题共6小题,每题5分,共30分)

19. 在乘法算式AB BA BCB ×=中,

相同的字母代表相同的数字,不同的字母代表不同的数字.那么ABC 代表的三位数是_______.

20. 有一列数组:

(1),(2,4),(3,6,9),(4,8,12,16),……,那么第十组中所有数之和是_______. 21. 将1~12分别填入到左下图的圆圈内,使得每个小正方形上的四个数之和都相等,那么这个和是

_______.

22. 如右上图,四个大小相等的等边三角形拼成了面积为32平方厘米的等边三角形ADF ,其中点G 是

线段AC 的中点,那么阴影部分的面积是_______平方厘米.

23. 如下图所示,有两个正六边形,小正六边形放在大正六边形的正中心,其中大正六边形的边长是小

正六边形的2倍,小正六边形的面积是1平方厘米,那么大正六边形的面积是_______平方厘米.

56 54 8

6

1 3

1. 1

2.32×=_____________. 2. 24.40.4÷=_____________.

3. 36104×÷=_____________.

4. 4299×=_____________.

5. 29362964×+×=_____________.

6. ()254400×+=_____________.

7. 2019181721?+?++?= _____________. 8. 3.251767.5 1.7×+×=_____________. 9. 321532284368×+×+×=_____________. 10. 234242422323×?×=_____________.

4 6 10

20 80

45 ?

24.甲火车和乙火车开始时头部对齐,同时同方向行驶,30秒后两列火车的尾部对齐,再过30秒,甲车

恰好完全超过乙车,已知乙车的车长是150米,那么甲车的车长是_______米.

四、填空题III(本大题共3小题,每题10分,共30分)

25.将1~6分别填入到下图的圆圈内,使得每个圆圈上方与之连接的两个圆圈内的数都比它大,那么一

共有_______不同的填法.

26.有一些互不相同的自然数,它们的平均数是85,如果去掉最大的数平均数变成了83,如果去掉最小

的数平均数变成了86,已知这些自然数没有超过100的,那么最小的数最小是_______.

27.甲、乙两人在一条马路旁相向而行,甲由南向北,乙由北向南,在8:00时,有一列南向北的队列

刚好追上甲,过了一会儿,这列队伍刚好超过甲,与此同时,乙刚好遇到这列队伍,在8:12时,

甲、乙正好相遇于A点,此时队伍的队尾正好处于A点与队伍的队头的中点,在8:21时,队列的队

尾已经距离乙600米,那么这个队列长________米.

五、解答题(本大题共4小题,每小题5分,共20分)

有阿呆、阿瓜、阿傻三个人,阿呆的速度是6米/秒、阿瓜的速度是4米/秒.阿呆、阿瓜从A地,

阿傻从B地同时出发相向而行,三人一直往前走,不停留.出发后360秒阿呆和阿傻先相遇,再过90

秒阿瓜也和阿傻相遇了.

28.阿傻的速度是多少?

29.出发后多长时间,阿呆在阿瓜和阿傻的中点?

30.出发后多长时间,阿傻在阿呆和阿瓜的中点?

31.出发后多长时间,阿瓜在阿呆和阿傻的中点?

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