测测孩子的数学潜力？

YIEYIE

初级测试题如下，答案可寄：[email protected] or call 416-838-6696

                                     Pre-class Test for Level1&2

1.The pattern of figures ∆●□▲○is repeated in the sequence△●□▲○△●□▲○......;The 2003rd figure in the sequence is
a)△          b) ●          c) □         d) ▲          e)○


2.There is a father and a son. When the father was 36 years old, the son was 8. Now the age of the father is 3 times the age of the son. How old is the son now?
3（略）                                                                           
4.Zhao, Qin, Sun, Li, Zhou, Wu, Chen, Wang took part in a math competition. Their average mark is 64; Wu got the highest mark, and his mark is twice as much as another student’s mark. Complete the following table:
     
Zhao   Qin        Sun    Li        Zhou    Wu            Chen        Wang
74        48                   90        33              60           78
                                                                                                                                         
5.A bookkeeper found an old book in which there is a line reads as: 72 buckets, total cost $ڤ67.9ڤ; where digits in the squares were bitten out by worms. Please fill the squares with the correct digits.

6.A teacher fond that his office was swept by somebody, and he asked 4 students who are present. A said: “It’s not me.” B said: “D swept the office.” C said: “B swept the office.” And D said: “B is lying.” Later, the teacher found out that only one of the four students told the truth, the other three lied. Please find out who swept the teacher’s office.
7.The sum of 27 consecutive natural numbers is 1998, what is the least one among these 27 numbers?
8.Complete the following multiplication:
                       * 3 *
              ×  7 * 4
                     _____
                      * 4 *
                1 * 1 *
             * 6 * 5
           _________
            1 * 9 * 4 0

chrisyue

1. 2003被5除余数是3,所以答案应该是C.
2.suppose father's age is x, then the son's age is x-(36-8)=x-28
then x=3*(x-28)   x=42
the father is 42 years old.
4. if 90 is the highest mark, a person's mark is 45. the average mark is 64. the total mark is 64*8=512 the last person's mark is 512-(74+48+90+33+60+78+45)=158>100
so 90 is not the highest score.
suppose the highest mark is x. the last person's mark is x/2.
so 74+48+90+33+60+78+x+x/2=64*8
x=86<90
86 is not the right answer.
because 74*2 and 60*2 and 78*2 are more than 100, and 33*2<90. and 48*2=96>90
so wu's score is 96. another person's mark is 64*8-(74+48+90+33+60+78+96)=33

happy63

1:        C       
2:        14, 42        36+X=3*(8+X)
3:                X=6
4:        45, 84        90/2=45
                64*8=74+48+90+33+60+78+45+X
                X=84
5:        $367.92       
6:        A       
7:        61        1998/27X-13=61
8:                235*764=179540
        Line1                  2 3 5
        Line2                 *7 6 4
        Line3                   9 4 0
        Line4                1 4 1 0
        Line5                1 6 4 5
        Line6         1 7 9 5 4 0