7th math

1)   What is the value of x³ y + 4x + 3y, when x = 6 and y = 7?

          A)1457           B)  1547

  

         C)  7551                D) 1557

 2) The diameter of all 4 circles is 3 inches. What is the black shaded area in square inches?

                                

 A) 9 square inches         B) 8 square inches

C) 7 square inches        D)  6 square inches

3) Ed and Alysa each makes 1 gallon of lemonade. Ed's lemonade has a water to lemon juice ratio of 3:1. Alyssa's lemonade has a water to lemon juice ratio of 4:1. They decide to mix the 2 gallons of lemonade together in a larger container. What is the water and lemon juice ratio at the end?

  A)31 to 7.                                             B) 31 to 9.

   C)31 to 6.                                             D) 9 to 31.

4) Soma the dog runs along a railroad. A train that is 270 meters long passes her in 18 seconds. The speed of the train is 20 meters per second. What is Soma's speed?

 A) 20 meters per second              B) 30 meters per second

 C)100 meters per second               D ) 10 meters per second

5) A truck was transferring fertilizer. The first day, it transferred 2/5 of the entire pile of the fertilizer. The second day it transferred 3/4 of the remaining of the fertilizers. There are 1200 pounds of fertilizer left. How much fertilizer was there before the transferring

  A)8800lbs          B) 8600lbs
 C) 8100lbs          D) 8000lbs

6)   The diameters of the 3 circles on the target are 2 cm, 4 cm and 8 cm.  What percent of the target is middle circle?

 A)18.75%                        B) 28.75%

C)18.25%                     D) 18.15%

7)   A store has a sale on products A and B. Both products are on sale by 25% off. At the sale price, products A costs 15% more than products B. How much more does product A cost than product B before the sale in percentage?

  A)  25%          B) 15%

C) 35%                 D )  45%

8)  Two circles overlap. The area of the overlapped region is 1/2 of the small circle's area and is 1/3 of the large circle's area. What is the ratio of the area of the small circle to the large circle?
                                                     

A) 2 to 3          B) 1 to 3

C)  8 to 5           D)3 to 2

9)  Two cities A and B are 650 miles apart. Train #1 travels from City A to City B at 60 miles per hour. Train #2 travels from City B to City A at 70 miles per hour. Train #1 starts at 8:00 am from City A and Train #2 starts at 8:00 am from City B. What time will the two trains meet?

A)1:00 pm                     B)3:00 pm

C)1:00 A.M                      D)4:00 pm

 10) Two cities X and Y are 650 miles apart, Train #1 travels from City X to City Y at speed of 60 mile/hour. Train #2 travels from City Y to City X at speed of 70 mile/hour. Train #1 starts at 8:00 am from City X and Train #2 starts at 10:00 am from City Y. What time will the two trains meet?

  A)2:19 pm           B)1:19 pm

  C) 1:29 pm           D)3:39 pm

11) A cylindrical water tank with a diameter of 10 cm and a height of 50 cm has a water level of 10 cm. If a smaller solid metal cylinder with a diameter of 4 cm and a height of 30 cm is placed into the tank, what is the water level?

A) 9.26 cm          B) 8.26 cm

C) 7.26 cm          D) 6.26 cm

12) A cubic shaped water tank of 20 inches tall is half full of water. If a solid metal cylinder with a diameter of 10 inches and a height of 20 inches is placed in the tank. What is the water level?

A) 12.44 inches                         B)13.44 inches

C)11.44 inches                          D)14.44 inches

 13) Farmer John has a nice piece of grass land for his sheep to graze on. The land can feed 10 sheep for 20 days.  It can feed 15 sheep for 10 days.  How many days can 25 sheep feed on this piece of land? (Hint: Grass grows at the same rate everyday.)

A)2 days                                         B) 3 days

 C) 4 days                                        D)5 days

 14) Calculate

          A) 300         B)  400

          C) 500         D)  600

15) Calculate

 

A)  10          B) 11

 C)21         D)  9

16) The 7^th graders' average height in Walnut Creek School for the girls is 54 inches. The average height for the boys is 55 inches. If the ratio of girls to boys is 7 to 6, what is the average height of all the students?

  A ) 54.46 inches                 B) 54.56 inches

  C) 54.36 inches                    D)55.56 inches 

17) A 7th grade class took a science test.  The average score for the boys is 81 points.  The average score for the girls is 82 points.  If the ratio of girls to boys in the class is 4 to 5, what is the average test score for all of the students?

 A) 81.44 points          B) 82.44 points

  C) 71.44 points          D) 61.44 points

18) At Jefferson School, both 6th grade and 7th grade classes took a math test. The average score for the 6th grade is 80 and for the 7th grade is 90. If there are twice as many students in the 7th grade as that in the 6th grade, what is the average test score for both grades together?

 A) 86.67          B) 96.67

C)   66.67        D )  88.67

19) Jenny mixes 2000 grams sugar water where sugar content is 10%. Several days later, the sugar content is 20%. What is the weight of the sugar water now?
A )100g            B)1000g

C)2000g            D)10g

20) Adam mixes 1800 kg salt water where salt content is 10%. Several days later, the salt contentis15%. What is the weight of the salt water now?
 

A) 1200g                   B) 200g

C)2200g                    D)1600g

21) A farm has chickens, turkeys, rabbits and pigs. There are 60 pigs in all. The ratio of chickens versus the sum of the other 3 animals is 1/4. The ratio of turkeys versus the sum of the other 3 animals is 2/13. The ratio of rabbits versus the sum of the other 3 animals is 4/11. How many animals in all are there on the farm?
 

         A)  50          B) 150

         C ) 250          D) 350

22) Calculate

(1+1/9)*(1+1/8)*(1+1/7)*(1+1/6)*(1+1/5)*(1+1/4)*(1+1/3)*(1+1/2)

         A)  2                B)  3

          C) 0                  D)   5

23) A dealer buys a wrist watch for Rs.225 and spends RS.15 on its repairs. If he sells the same for RS.300, find his profit percent.

(a) 75% (b) 60% (c) 25% (d) 20%

24) Mona gets 98 marks in her exams. This amounts to 56% of the total marks. What are the maximum marks?

(a) 175 (b) 150 (c) 200 (d) 160

25) Akhil has to pay 4% sales tax in addition to the price of a certain article. Find the price of the article, if he pays Rs.260 in all.

(a) Rs.220 (b) Rs.250 (c) Rs.256 (d) Rs.200

26) The value of a machine depreciates every year by 10%. What will be its value after 2 years, if its present value is Rs.50,000?

(a) Rs.40,500 (b) Rs.40,050 (c) Rs.40,000 (d) Rs.45,000

27) Aby lent Rs.8,000 to his friend for 3 years at the rate of 5% per annum compounded annually. What amount does Aby get afer 3 years?

(a) Rs.9,000 (b) Rs.9,200 (c)Rs.9,216 (d) Rs.9,261

28) Find the amount on Rs.4,096 at the rate of 12 ½% per annum for 18 months compounded half-yearly.

(a) Rs.5,000 (b) Rs.4,913 (c) Rs.4,931 Rs.5,832

29) The present population of a town is 28,000. If it increases at the rate of 5% per annum, what will be its population after 2 years?

(a) 30,000 (b) 30,800 (c) 30,870 (d) 30,870

30) If the cost price of 18 mangoes is the same as the selling price of 16 mangoes, find the gain percent.

(a) 15% (b) 12.5% (c0 15.5% (d) 12%