MID TERM TEST FIRST TERM JSS 3 MATHEMATICS

FIRST TERM MID TERM TEST 

Class: J.S.S 3                  Subject: MATHEMATICS 

 SECTION A

Answer all questions in this section

1. Find the missing numbers in the sum below in base 2

                   1 1 1 1 

                   * * * *

                  1 1 0 02        (a)11112 (b)110102 (c)100002 (d)1010102 (e)10112

2.     Simplify 36xy (a) 4x (b)4xy (c)9xy (d)1xy

        9y 

1. Express 675 as a product of its prime factors (a)32*5(b)23*32 (c)33*52 (d)42*33
2. What is the value of 56n when n=6 (a)336 (b)334 (c)330 (d)72
3. The sum of 35 and a certain number is divided by 4. The result is equal to double the number. (a)5 (b)7(c)3 (d)9 (e)13
4. Find the value of 1004 (a)5 (b)8½ (c)5¼ (d)7¼ (e)13
5. What does the figure 1424 represent in roman numerals? (a)MCMXIV (b)MCMXXC (c)MCDCXXIV (d)MCDXXIV
6. What base of counting is used internationally (a)base 2 (b)base 5 (c)base 20 (d)base 10
7. Calculate the area of a circle whose diameter is7cm =22/7 (a)38.5cm2 (b)44cm2 (c)38cm2(d)22cm2
8. Express 345sixto a number in base ten (a)34.2 (b)44 (c)134 (d)137
9. What is the HCF of 10ab and 8ab (a)2ab (b)5ab (c)6ab (d)80a2b
10. Convert 101.011 to a number in base 10 (a)5½ (b)5.05 (c)5⅛  (d)5⅜
11. What is the product of -6,0.7 and 6⅔? (a)-23 (b)-28 (c)-30 (d)-58
12. Solve 2¾+33/2x (a)x=-5 (b)x=-7 (c)x=-6 (d)x=-10
13. Find the amount of #34,320 in 5years at 6¼%% per Annum(a)#34,600 (b)#35,200 (c)#45,045 (d) #36,200
14. Convert 100110two to base ten number (a)39 (b)38 (c)46 (d)25
15. The proportion in which the price increases as that of the goods is proportion (a)Direct (b)Inverse (c)Inductive (d)more explanation required
16.  Expand (3a+2)2 (a)12a-9a2+4 (b)9a2+12a+4 (c)a2-7a+12 (d)3a+2+12a2
17. Simplify X2y          (a)y/x (b)x/y (c)x2/y2 (d)x2y/y2Xy2
18. Find the coefficient  of X2 in the expansion of 2(x+1)(x+10) (a)-2 (b)-22 (c)+2 (d)+22
19. A2-2ab+b2 equals to _______ (a)(a+b)(a-b) (b)(a+b)(-a-b) (c)(a-b)(a-b) (d) None  of above
20. Which   of  the following is the  formula for  calculating principal in compound interest(a)R=100I/PT  (b)P=100I/PR ( c)I=RTP/100 (d)P=100T/RT
21.  Find the simple interest on the cash #3500 borrowed by Olu for  3year at 9%. Interest  per annum(a)#945.00 (b)#625.45 (c)#700.45 (d)#850.00   

1. Use the   samples following NO24-28      sample A

Sample A Sample B

26. 27.

28.

(a)3110516  (b)576, 3110 (c)1810, 316 (d)1110, 516

29. A man receive #80.00 for working 5 days, how much is he paid for 14days? (a)#100.00 (b)#120.00 (c)#224.00                                                  (d)#300.00 (e)#320.00
30. Find the product of the positive difference between 2and7 and the sum of 3 and 5 (a)72 (b)56 (c)40 (d)17 (e)10

SECTION B

            Attempt three questions only from this section. (Note that question 4 is compulsory)

1. Convert each of the following to  base eight 

1. 100112
2. 39ten
3. 1254six
4. 623seven
5. 132four

1. Factorize 

1. Y2+2y-15
2. Xy-2y+4x-8

       2b. Expand 

1. (x-2)(x-11)
2. (2x-7xy)(3x+5xy)

1. Evaluate 

1. 32235
2. (314×3)5

       3b.  The sum of   two even numbers is 30. Find the product of the numbers

1. Find the compound interest on #600.00 for 3 year at 5% per annum

4b. Expand and simplify each of the following 

1. (2x+5)(3x-2)
2. (x-5)(x+3)

1. If 40 students can consume 100kg bag of beans in 6 weeks. How long will the bag last for 

1. 16 students
2. 30 students 
3. 60 students 

        5b. find the sum of the following 

1. (2x+3x), -8x, +12x and 5x
2. 4½, 16 and 13⅕

1. Evaluate each of the following 

1. (321five+413eight) leaving your  answer in base ten
2. 11112+100000002
3. (11002112) using the expansion and the long  division methods.

1. Factorize each of the following

1. 4x2-8x-12x2y2
2. 7937+2137
3. 2d3+d2(3d-1)
4. 3k3+k2(2k+2)
5. 3a-cb-3b+ac