1 QUESTION 1 5 FOR JSS 1 1. The LCM of, 3 and 4 is A. 14 B. 1 C. 1 D. 16. Estimate to 3 decimal places. A B C D Express 111 two as a number in base ten. A. 15 B. 18 C. D A woman took some money to the market. After spending twenty-five naira, she was left with eight naira. How much did she take to the market? A.N5. B. N4. C. N38. D. N One of the following is an example of a regular polygon. A. Trapezium B. Kite C. Square D. Parallelogram 6. An obtuse angle is an angle between A. 9 o and 18 o B. 9 o and 1 o C. 3 o and 9 o D. o and 9 o 7. Find the mean of the following numbers: 1, 5, 6, 3, 4 A. 5 3 / 5 B. 5 1 / 5 C. 3 / 5 D. 1 / 8. Which fraction is greatest: 1 / 7, / 3, 1 / 3 or 4 / 7? A. 1 / 7 B. 4 / 7 C. / 3 D. 1 / 3 9. The shape below is known as A. Parallelogram B. Square C. Rhombus D. Rectangle
2 1. Expand -4 (3y + 4z) A. 1y 16z B. -1y +16z C. -1y -16z D. 1y +16z 11. The difference between the highest and lowest value in a data set is called A. Average B. Mode C. Median D. Range 1. Find the LCM of these numbers: 3x5x7, x3 5 x5 and x3x7 A.x3x5x7 B. x3 5 x 5 x7 C. x3x5x7 D. x3 3 x5x7 Study the sample and answer the next question. A. B /3? 5 1 /4 A.1 7 / 1 B. / 3 C. 1 1 / D When K=1, find the value of 5k + k + k. A.5 B. 6 C. 7 D If 11 two is subtracted from another binary number and the result is 1 two, what is the other binary number? A. 1 B. 1 C. 11 D Subtract 4 1 / 4 from 7 1 / 3 A.3 3 / 1 B. 3 5 / 1 C. 3 1 / 1 D. 3 3 / 1 4x o 3 o 17. Find the value of x. A / o B / o C / 3 o D / o
3 Study the samples: 3n 15n 4s s 5n 18. Now, find the missing value in the diagram below 18d 5s? d A.9d B. 36d 3 C. d 3 D. 4d people attend a meeting. There are n-men and n-women and the rest are children. How many children are at the meeting? A. 18(n) B. 18+n C. n-18 D. 18-n. Estimate the cost of.5 hectares of school land at N196, per hectare. A.N,5, B. N4,18, C. N4,9, D. N3,98, 1. The figure above represent the net of a A. Cylinder B. Triangular Prism C. Cone D. Triangle. The number which is 6 less than m is A. m+6 B. 6-m C. 6m D. m-6 3. Simplify A B. 1 4 C. 3 4 D
4 4. Each face of a cuboid is in the shape of a A. Rectangle B. Triangle C. Square D. Circle 5. Calculate 4..6 A. 6 B. 7 C. 75 D Solve the equation: 4x 5 = -3 -x A..1 B..31 C..4 D.. 7. Which of these options is an obtuse angle. A. 1 o B. 95 o C. 81 o D. 5 o 8. Convert.67 into a common fraction in its lowest terms. A B C D Twice a certain number is added to 1. If the result is -14. Find the number? A. -15 B. -1 C. 1 D A triangle that has all three sides and angles of different length and size is a triangle. A. Scalene B. Equilateral C. Right-angled D. Isosceles 31. Which one of the following is not correct? A. -7< B. >-1 C. -1<1 D. -5>5 3. Arrange the following in order of magnitude starting with the smallest: 8, -7, -1, -3, 5, 3,. A., 3, -3, 5, -7, -1, 8 B. -1,, -7, -3, 5, 5, 8 C. -1, -7, -3,, 3, 5, 8 D., -7, -3, -1, 3, 5, Which of the shapes below is/are not prism. i ii iii iv v A. i, iii & iv only B. i, iii & v only C. i, ii and iv only D. i and iv only.
5 34. Find the smaller angle between the hour and the minute hand at 1 p.m. A.1 o B. 15 o C. o D. 3 o 35. The perpendicular bisector of line MN. A. Divide line MN into two equal parts B. Make angle 45 o with MN C. Is parallel to line MN D. Divide line MN into three equal parts 36. The difference between two numbers is 57. The larger number is What is the other number? A. 37 B. 377 C. 377 D Three angles of a triangle are (4x) o, (4x-) o and (3x+6) o. find x. A.15 o B. 16 o C. 18 o D. o 38. Round off 475 to the nearest hundred. A.8 B. 7 C. 5 D Find the sum of the prime numbers between 1 and 1. A. 3 B. 9 C. 8 D Express 1 / 8 as a percentage. A. 7.5% B. 6.5% C. 1.5% D. 3.% 41. Find the number of seconds in mins sec. A.14sec B. 141sec C. 14sec D. 1sec 4. The price of a commodity originally sold for N increased to N35. Find the percentage increase. A. 3.% B. 5.18% C % D. 75.% 43. What is the angle of a ¾ turn of the rotation of the long arm of a clock? A. 7 o B. 18 o C. 9 o D. 6 o 44. Express.1km in cm. A. 1cm B. 1cm C. 1cm D. 1cm
6 45. Convert 1 eight to base ten. A. 1 B. 19 C. 11 D When a certain number is added to 1, the result is 5. What is the number? A. -1 B. 1 C. 15 D Factorise 3a + 9 A. 3 (a + 3) B. -3 (a + ) C. (a + 9 / ) D. 3 (4a + 3) 48. Which solid shape has 6 edges? A. Cube B. Triangular Prism C. Triangular Pyramid D. Cuboid 49. Find the perimeter of the shape below: A 3cm B 4cm 5cm D C A. 18cm B. 1cm C. 5cm D. 8cm 5. Find the value of y. y o 98 o 5 o 1 o A. 6 o B. 7 o C. 8 o D. 9 o
7 JSS1 WORKED SOLUTIONS FOR 17 MATHSCHAMP 1. The LCM of, 3 and 4 is the smallest number which is exactly divisible by, 3 and 4. This smallest number is 1. It should however be noted that there are many other numbers like 4 and 36 which are exactly divisible by, 3 and 4 but 1 is the smallest number that can be divided by,3 and 4 without leaving a remainder. Option B is the correct answer.. To estimate the number correct to 3 decimal places is to write the number from the beginning of the digit 5 to the third digit after the decimal point. This third digit after the decimal point is the second 9 just before 8. We then consider the digit next to where we are stopping which is 8 and by rule, we add 1 to the 9 where we are stopping to give Option A is the correct answer. 3. To express 111two in base ten is to expand the number in powers of its base as (1 ) + ( ) + (1 ) + (1 ) + ( ) = (1 16) + ( 8) + (1 4) + (1 ) + ( 1) = = ten. Option C is the correct answer. 4. Let the amount the woman took to the market be N x. By translating the problem into mathematical equation, we have giving the market. Option D is the correct answer. x 5 = 8 x = 33. Therefore, the woman took N33. to 5. A polygon is a plane shape with 3 or more sides. A polygon is called a regular polygon, if it has equal sides and angles. The only shape that has equal sides and angles among the shapes in the question is option C. Option C is the correct answer. 6. An obtuse angle is an angle whose value is greater than 9 but less than 18 i.e. an angle whose value is between 9 and 18. Option A is the correct answer. 7. The mean of the numbers is the average of the numbers 1,5,6,3,4 which is given by = = 5 Option A is the correct answer To find out which of the fractions is the greatest, we need to write all the fractions with the same or common denominators. In order to do this, we first find the LCM of the denominators of the fractions i.e. the LCM of 7,3,3 and 7. The LCM is 1. We then write all the fractions with common denominators of 1 as follows: = = , 7 14 = = , = = , = =
8 By comparing the numerators of the new equivalent fractions, the highest of the numerators is 14 corresponding to the fraction 3, hence 3 is the greatest fraction. Option C is the correct answer. 9. The shape is known as a rectangle. Option D is the correct answer. 1. In order to expand 4( 3y 4z) thus ( ) +, we need to use 4 to multiply each term inside the bracket 4 3y + 4z = 4 3y + 4 4z = 1 y 16z. Option C is the correct answer. 11. The difference between the highest and lowest values in a data set is called Range. Option D is the correct answer. 1. To find the LCM of two or more numbers in which each has been expressed as a product of its prime factors in index form, we need to ensure that every prime factor appearing in any group of the products is represented in the LCM. In doing this, we always pick the prime factor from any group with the highest index together with the index to represent the same type of prime factor that may be appearing in other group or groups. Thus we may refer to LCM as the house of 5 representatives of factors. Now, to find the LCM of 3 5 7, 3 5, 3 7, there are three groups of products and there are four types of prime factors in the three groups namely, 3, 5 and 7. Therefore, we pick from the last group to represent prime factor from that group and the other group appears. Similarly, is picked to represent prime factor 3, is picked to 3 5 represent prime factor 5 and to represent prime factor 7 in the LCM. Thus the product of these 5 representatives, 3 5 7, is therefore the LCM of the three numbers expressed by the three groups of products in the question. Option B is the correct answer From a careful study of the sample given in the question, it can be deduced that 16 9 = 7 and.86.6 =.6. Therefore the number in the box with question mark is the positive difference between and i.e. 5 3 = = = = 1. Option A is the correct answer When K = 1, 5K + K + K = 9K = 9 1 = 9. Option D is the correct answer. 15. Let the other binary number be x. Therefore, x 11 = 1 and x = 11two + 1two = 11two. Option C is the correct answer. two two
9 = 3 = 3 or correct answer = = = = 3. Option C is the Since the angle on a straight line is , x = = 37. Option A is the correct answer. 4 4x + 3 = 18, 4x = 18 3 = 15 and 18. A careful study if the sample reveals that 3n 5n = 15n and 4s 5s = s hence the missing 3 value is the product of 18d and. That is 18d d = 36d. Option B is the correct answer. d n + n = n 19. The total number of men and women is. The number of children will then be got by subtracting n from 18 i.e. 18 n. Option D is the correct answer.. The cost of 1hectare is N196,. Therefore, the cost of.5hectares will be.5 N 196, =N 4,18,. Option B is the correct answer. 1. The figure represents the net of a cone. Option C is the correct answer.. The number which is 6 less than m is written as m 6. Option D is the correct answer = + + = = = =. Option C is the correct answer. 4. Each face of a cuboid is in the shape of a rectangle. Option A is the correct answer. 5. By writing 4. and.6 as common fractions, we have = = = 7 1 = 7. Option B is the correct answer x 5 = 3 x and by collecting like terms: 4x+ x= 3+ 5, 5x = and C is the correct answer. x = =.4. Option 5
10 7. An obtuse angle is an angle whose value is between correct answer. 9 and 18. Hence option B is the 8. To convert.67 to a common fraction, we multiply.67 by 1 and divide the result by = =. Option D is the correct answer as follows : 9. Let the number be x. Twice the number is x Therefore, x + 1 = 14. Solving, we have x = 14 1, is the correct answer. x + and when it is added1, it becomes 1. 4, x = = 1. Option B x = 4 3. A triangle that has all three sides and angles of different length and size is a scalene triangle. Option A is the correct answer. 31. Option D is the correct answer since 5 is not greater than By arranging the numbers 8, 7, 1, 3, 5, 3, in order of magnitude, starting with the smallest, we have 1, 7, 3,, 3, 5, 8. Option C is the correct answer. 33. A prism is a solid shape with a uniform cross-section. There are only two shapes with uniform cross-section in the question. These are the shapes in (ii) and (v). The shape in (ii) has a rectangle as its uniform cross-section and is called a rectangular prism, apart from the name cuboid which is popularly called. While the shape in (v) has a circle as its uniform cross-section and is called circular prism, apart from the popular name cylinder. Hence, the other shapes are not prisms because they do not have uniform cross-section. Option A is the correct answer. 34. At 1., the hour hand will point at 1 while the minute hand will point at 1. Since we have five minutes between 1and 1, going by the minute hand, we then express the five minutes as a fraction of 6 minutes which is the total number of minutes for a complete revolution. There are 36 in a revolution, hence the required angle is given by 5 36 = 5 6 = 3. Option D is the 6 correct answer. pm 35. The perpendicular bisector of a line is another line that divides the first line into two equal parts and cut themselves at right angles. Option A is the correct answer.
11 36. Let the other number be x. Therefore, 4349 x = 57, = x, x = 3777 Option D is the correct answer. 37. The sum of angles of a triangle is 11x = 18 4, 11x = 176, 18. Therefore, 4x + 4x + 3x + 6 = 18, 11x + 4 = 18, 176 x = = 16. Option B is the correct answer = 5 correct to the nearest hundred. Option C is the correct answer. 39. The prime numbers between 1and 1 Option C is the correct answer. are,3,5,7 and 11. Therefore, = = 1 1% = 1.5%. Option C is the correct answer min s sec = 6sec+ sec = 14sec. Option A is the correct answer. 4. Increase in the price of the commodity =N (35 ) increase = N15. Therefore, the percentage increase 15 = 1% = 1% = 75%. Option D is the correct answer. original price 43. The angle of a 3 4 Option A is the correct answer. turn of the rotation of the long arm of a clock = = = km = 1, cm..1km =.1 1, cm = 1, cm. Option D is the correct answer. 45. answer. 1 1eight ten = + + = + + = + + =. Option B is the correct 46. Let the number be x. Therefore, 1 + x = 5 and x = 5 1 = 15. Option C is the correct answer.
12 47. By taking out common factor, 3a+ 9 = 3( a+ 3). Option A is the correct answer. 48. The solid shape that has 6 edges is a triangular pyramid. A triangular pyramid is a pyramid on a triangular base. It is sometimes called a tetrahedron and has 4 triangular faces. Option C is the correct answer. 49. The perimeter of a plane shape is the length round the shape. Out of the four sides of the given shape, only side CD is not given. To find this side, a perpendicular from B to CD is drawn to meet CD at X. The shape is now being divided into a rectangle and a right-angled triangle from which the length of XC and DX is found to be 3cm each, as shown in the figure below: A 3cm B 4cm 4cm 5cm D 3cm X 3cm C Perimeter = 3cm + 5cm + 3cm + 3cm + 4cm = 18cm. Option A is the correct answer. 5. Angle at a point is 36 y = = 9 Option D is the correct answer.. Therefore, y = 36, y + 68 = 36,