# Mathematics Questions and Answers - Form 1 End Term 2 Exams 2023

INSTRUCTIONS TO STUDENTS

1. Answer all questions in this question paper.

## QUESTIONS

1. Write 27707807 in words. (2mks)
2. Use either <,> or = to relate the fractions below.
1. 2/4 and 3/6 (1mk)
2. 60/25 and 60/132 (1mk)
3. State the place values of the following digits in the number 201.789.
1. 1 (1mk)
2. 8 (1mk)
3. 7 (1mk)
4. Use factor-tree to decompose 256 into prime factors. (4mks)
5. Evaluate  (3mks)
6. A car consumes 85/8 litres of petrol to cover 513/4 km. what average distance does it travel for every distance? (4mks)
7. Use the symbols <,>, or = to compare the following integers.
1. -2 and -3 (1mk)
2. -3 and 4 (1mk)
3. 5 and -5 (1mk)
8. Find the L.C.M of 24, 15 and 16. (3mks)
9. From the following set of numbers which are:
1. Odd[20,18,6,7,8,21] (1mk)
2. Prime[14,2,10,9,3] (1mk)
10. Convert the following fractions into percentages:
1. 3/4 (2mks)
2. 1/4(2mks)
11. What is the G.C.D of 60, 80 and 120? (3mks)
12. What fraction does letter K represent in the diagram below? (3mks)
 K L L L K L K K L W L L L K L L K L L L
13. Write in figures five billion five million five thousand and five. (2mks)
14. The sum of two consecutive even numbers is 74, find the two numbers.(4mks)
15. Write the following into improper fraction:
1. 13/4 (2mks)
2. 26/7 (2mks)
16. Use a number line to perform the following operations.
1. (-10)-(-3) (1mk)
2. (-3)-(-4) (1mk)
3. (+1)-(-8) (1mk)

SECTION II (50MKS)
Answer any five Questions in this section

1.
1. A two digit number is such that the ones digit is 11/4 times greater than the tens digit. If the sum of the digits is 9, find the number. (6mks)
2. find the product of the positive difference and the maximum quotient between the digits. (4mks)
2. Three bells ring at intervals of 6 minutes,5 minutes and 8 minutes. If they rang first at 9.15 a.m, find when they will ring for:
1. The second time (6mks)
2. The 5th time (4mks)
3.
1. State the value of digit 7 after the operations below.
1. 3.45x20.54 (2mks)
2. 34.5x20.54 (2mks)
3. 345x205.4 (2mks)
4. 3.45x205.4 (2mks)
2. state the value of second digit in the product 67.5x44.4. (2mks)
4.
1. When a number is divided into by 8,9,and 6 the remainders are 7, 8 and 5 respectively. Find the number. (6mks)
2. the L.C.M of three numbers is 24 and their G.C.D is 4. If two of the numbers are 8 and , find the other number. (4mks)
5. check whether the following numbers are divisible by 6:
1. 390 (2mks)
2. 441 (2mks)
3. 6732 (2mks)
4. 7544 (2mks)
5. 5310 (2mks)
6. Express the following numbers in powers of their prime factors:
1. 196 (2mks)
2. 196 (2mks)
3. 196 (2mks)
4. 196 (2mks)
5. 196 (2mks)
7. Three boys shared some money. The youngest got 1/12 of it, the next got 1/9 and the eldest got the remainder.
1. What fraction of the money did the eldest receive? (6mks)
2. If the eldest boy got shs. 330, what was the original sum of money? (4mks)
8. Round off the following numbers to the nearest values indicated in the brackets,
1. 370 (1000) (2mks)
2. 2499 (10) (2mks)
3. 38679 (10000) (2mks)
4. 473678 (100) (2mks)
5. 501 (1000) (2mks)

## MARKING SCHEME

 No. WORKING AWARD EXPLANATION 1. Twenty seven million seven hundred and seven thousand eight hundred and seven B1 B1 02 2. a) 2/4=3/6 b)2/5<3/4 B1 B1 02 3. a)ones                                                             b)hundredths c)tenths B1 B1 B1 03 4. 256=2X2X2X2X2X2X2X2=28 04 5. 7/8 ÷ 5/2 + 7/4 ÷ 5/4 (7/8 x 2/5)+(7/4 x 4/5) 7/20 + 7/5 7/4 or 13/4 M1 M1   A1 Removing bracket Division 03 6. 513/4 = 207/4km, 69/8 litres 69/8 = 207/4  1 Litre = ?  207 x 8 4 x 69  = 6 km/lit M1   M1     M1 A1 04 7. a) -2>-3 b) -3<4 C) 5>-5 B1 B1 B1 03 8. 24=2X2X2X3=23X3 15=3X5 16=2X2X2X2=24 LCM=24X3X5        =16X3X5        =240 M1   M1 M1   A1 04 9. a) 7, 2 b) 2,3 B1 B1 02 10. a) 3/4 x 100     =75% b) 1/4 x 100    =25% M1 A1     M1 A1 04 11. 60=22x3x5 80=24x5 120=23x3x5 GCD=22x5        =4x5          =20 M1   M1     A1 03 12. K=6 Total parts=20 Fraction=6/20              3/10 M1   M1 A1 03 13. 5005005005 B2 B1 B0 All positions correct 6-9 positions correct Less than6 positions 02 14. Let one be n, 1st =n, 2nd= n+1 n+(n+2)=74 2n=72 N=36 Nos,36 &38 M1 M1   M1   A1 Both correct 04 15. 13/4 = 7/4  26/7 = 20/7 M1A1   M1 A1 04 16. a)  ........................................................>      -10                 0              -7 b)   ........................................................>     -3           0                     +1 c)    ........................................................>      0        1                            8 B1     B1     B1 03 17 a)      Let tens digit be x x + 5/4x =9 9/4x =9 X=4 Ones=5/4 x 4 = 5 No    =45 b)      +ve diff=5-4 Max quotient=5/4 Product =1 x 5/4            =5/4  or   11/4 M1 M1 M1 M1 M1 A1  M1 M1 M1 A1 10 18. a) LCM=23x3x5         =8x3x5        =100 min         =1hr 40mins Time =9:15+1hr 40min          =10:55 am b)LCM =23x3x5=100             =1hr40mins 5th  time=100x4                =400mins                =8hrs40mins             =9:15+8hrs40mins             =5:55pm M1 M1 M1 M1 M1 A1     M1 M1     M1 A1 10 19. a)i) 70.864     70  ii)708.63     700 iii)70863     70,000 iv)708.63     700 b)2997      900 B2   B2   B2   B2   B2 10 20. a)Common diff=1 LCM 8=23               9=32          6=2X3 LCM=23X32         =8X9         =72 No.  =72+1         =73 SUM=7+3          =10 b)LCM=24    GCD=4 No.=LCMXGCD/Product       =24x4/8x12      =1 M1     M1   M1   M1 M1 M1 A1         M1 M1 A1 10 21. divisible by both 2&3   hence divisible by 6 not divisible by 2  hence not divisible by 6 divisible by both 2&3 hence divisible by 6 not divisible by 3 hence not divisible by6 divisible by 2&3 hence divisible by 6 B1 B1  B1 B1  B1 B1  B1 B1  B1 B1 10 22. a)196=22x72 b)72=23x32 c)385=5x7x11 d)300=22x3x52 e)715=5x11x13 B2   B2   B2   B2   B2 10 23. a)youngest +second=( 1/12 + 1/9) = 7/36Eldest=1 - 7/36   = 29/36 b) eldest= 29/36 if 29/36 = 330 therefore 36/36 = ? = 330 x 36         29= 409.655 M1  M1  M1 M1  A1  M1  M1  M1  M1  A1 10 24. a) 370  0 b)2499   2500 c)38679 40,000 d)473678   473,000 e)501  1000

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