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Form 1 Mathematics Revision Questions and Answers Set 3
Express the following numbers as a product of prime factors.
a. 472
b. 1078
(1m 33s)
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1.
A Kenyan Tourist left America through South Africa. While in South Africa she bought a necklace worth 24 dollars. Given that 1 rand = 0.15 dollars and I rand = 11.24 Kenyan shillings, find the value of the necklace in a) South African rands b) Kenya shillings
2.
Find the total number of equal pieces of pipes that can be cut from three pipes of length 72m, 96m and 300m
3.
Evaluate #(4 3/5 of 15-5 times 3+2 1/5)/( 6÷ 2/3 + 5 3/7-2 2/7times 7)#
4.
The figure below shows a prism of length 10cm. Its cross-section is an equilateral triangle whose length is 7cm. a) Sketch and label the net of the prism. b) Calculate the surface area of the prism.
5.
Kassim has a money box containing 100 mixed shs 5 and shs 10 coins with a total value of shs 600. How many of each type of coin does the box contain?
6.
Without using tables, evaluate; #(0.51 times 5700)/(6.8 times 0.0095)# Giving the answer in standard form.
7.
Four posts A, B, C and D stand on a level horizontal ground. Post B is 240m on a bearing of #060^0# from A, Cis 210m to the south of B and D is 150m on a bearing of #140^0#from A. (a) Using a scale of 1 cm to represent 30m, show the relative positions of the posts. (b) Use the scale drawing to: (i) Find the distance and the bearing of C from D. ii) Determine how far A is to the west of B.
8.
Ouma had pigs, hens and ducks in his farm. The number of pigs was 32 and number of hens was twelve times the number of pigs. The number of ducks was 1344 more than the number of hens. If he sold 34 of the ducks, find the number of ducks that remained.
9.
A father is now four times as old as his son. Five years ago, he was exactly one and half times as old as his son will be in ten years from now. Determine the sum of their present ages.
10.
An arc length of 11cm subtends an angle of 140° at the circle. Find the area of the enclosed sector.
11.
An electrician made a loss of 30% by selling a multi plug at Sh. 1400. What profit would he have made if he sold the multi plug at sh 2300.
12.
1400 #cm^3# of liquid X of density 0.8 g/#cm^3# is mixed with #600 cm^3# of liquid Y of density 1.2 g/#cm^3#. Find the density of the mixture.
13.
The LCM of two numbers is 240 and their GCD is 12. If the two numbers are 60 and y, find y
14.
Jemima’s team entered a contest where teams of students compete by answering questions that earn either 3 points or 5 points. Jemima’s team scored 44 points after answering 12 questions correctly. How many five-points questions did the team answer correctly.
15.
A fruit juice dealer sell the juice in packet of 300ml, 500ml and 750ml. find the size of the smallest container that can fill each of the packets and leave a remainder of 200ml.
16.
Three bells ring at intervals of 30 minutes, 45 minutes and 60 minutes. If they ring simultaneously at 7.30a.m, at what time will they next ring together?
17.
Without using calculators evaluate: #(-24 ÷ (-6) times 5 - (-30))/(-16 times 4 ÷ 2 + (-8))#
18.
A two digit number is such that the sum of the digit is 12. If the digits are interchanged the value of the new number formed is fifteen more than twice the value of the original number. Find the original number?
19.
Solve for x in the equation #(6x-4)/3- (2x-1)/2=(6-5x)/6#
20.
The sum of all the interior angles of a regular n-sided polygon is 28800. Calculate the value of n and the size of the exterior angles of the polygon.
21.
Three tanks are capable of holding 361, 841 and 901 of milk. Determine the capacity of the greatest vessel which can be used to fill each one of them on exact number of times.
22.
Test whether the number 24831 is divisible by 3.
23.
Write in words 437 308 041.
24.
Write the following in standard form. a. 0.001576 b. 325.87
25.
Express the following numbers as a product of prime factors. a. 472 b. 1078
26.
Evaluate #96 ÷ 6 + 7 times 15 – 14 times 5#
27.
Express the following composite numbers as a product of prime factors (a) 81 (b) 1386
28.
Work out without using a calculator 98 + 6734 + 348
29.
Work out without using a calculator #(648-243)/81#
30.
What is the greatest mass that can be taken in exact number of times from 144g, 216g, 126g.
31.
If x= -2, y= -6 and z= 4 find the value of 2y – 3x + z
32.
Three bells ring at itervals of 40 minutes, 45 minutes and 60 minutes. If they ring simultaneous at 6.30 a.m. at what time will they next ring together.
33.
A bookstore had 30816 exercise books which were packed in cartons. Each carton contained 24 exercise books. The mass of an empty carton was 2kg and a full carton 12kg. a) How many cartons were there? b) What was the total mass of the empty cartons?
34.
Test whether the following numbers are divisible by 3. a) 1257 b) 7203
35.
Add one thousand and forty four to the product of one thousand and six and one hundred and eighty.
36.
Evaluate #(-8÷2+12times9-4times6)/ (56÷7times2)#
37.
A number m is such that when it is divided by 30, 36, and 45 the remainder is always 7, find the smallest possible value of m.
38.
The distance between two schools m and k is 2km. A market is situated between m and k one third of the distance from m and k. How far is the market from k?
39.
If x = -2, y= -6 and z= 4, find the value of #(4xy)/z #
40.
Evaluate the value of, (-7) + (-2) + (+6)
41.
Evaluate without using tables or a calculator #0.38 times 0.23 times 2.7 #
42.
The GCD of two numbers is 7 and their LCM is 140. If one of the number is 28 , what is the other number ?
43.
When a certain number x is divided by 30, 45 or 54, there is always a remainder of 21. Find the least value of the number x
44.
Without using a mathematical table or a calculator, evaluate leaving your answer in fraction form. #(2.7 times 2.04)/(300 times 0.054)#
45.
The GCD of two numbers is 36 and their LCM is 1260. If one of the numbers is 252, find the other number.
46.
Four machines give out signals at intervals of 24, 27, 30 and 50 seconds respectively. At 5.00 pm all the four machines give out a signal simultaneously. Find the time this will happen again.
47.
Evaluate: #(1/4+1/(5 ) ÷1/(2 ) of 1/3)/(1/2 of (4/5-3/4+1/2) )#
48.
Evaluate: #(4/11 of 3/4- 1/20)/(3+1/3 ÷1+1/10)#
49.
Without using tables, evaluate: #(0.51 times 5700)/(6.8 times 0.0095)#
50.
Given that #1.05=a/b#, Find the values of a and b
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