2. P = { 0,2,4,6} and { 1,2,4,5} find P Q. A. { 0,6} B. { 2,4} C. {0, 2,4} D. { 0,2,6}

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1 SECTION A. 1. Express 24 as a product of prime factors. A. 2 2 x 3 3 B. 2 x 3 C. 2 2 x 3 D. 2 3 x 3 2. P = { 0,2,4,6} and { 1,2,4,5} find P Q. A. { 0,6} B. { 2,4} C. {0, 2,4} D. { 0,2,6} 3. Two sets which have no common members are called? A. empty set s B. disjoint sets C. equal sets D. intersection sets 4. State the property of operations used in the statement below. P( q +r) = (pq) + (pr). A. commutative B. distributive C. identity D. associative 5. What is the equivalent of 2 2 x 6 2 in terms of indices? A. 2 x 3 B. 2 4 x 3 2 C. 2 4 x 3 D. 2 x If V 2 1 = 80, find V. A. 9 B. 7 C. 40 D How many faces has a closed cylinder? A. 1 B2 C. 3 D A set A is called of set B when all the numbers of set A are also found in set B A. subset B. universal set C. union set D. null set 9. Simplify 2 x 3 2 x 3 4 A. 2 x 3 5 B. 2 x 3 6 C. 2 x 3 8 D ( a + b) + c = a + ( b +c) is A. inverse B. commutative C. distributive D. associative The diagram below shows a circle with centre O. S and T are points on the circle. Use it to answer questions 11 and 12. S T 11. What name is given to the shaded region? A. Radius B. Sector C. Segment D. Arc 12. The point O is called A. centre B. chord C. diameter D. Arc 13. What is the value of 4 in the number 2,043,507 A. forty B. four hundred C. four thousand D. forty thousand 14. The circumference of a circular track is 154m. find the diameter of the track. A. 24.5m B. 49.0m C m D. 22.0m

2 15. Find the missing number in the set { 5,10,15, 25,,,40} A. { 20, 30, 35} B. {20, 30} C. { 20, 30, 40} 16. Find the H.F.C. of 63 and 81 A. 7 B. 9 C. 21 D Find the sum of all the even numbers between 70 and 80. A. 300 B. 200 C. 223 D By hoe much is 5 / 6 greater than ¾ A. 2 / 3 B. 1 / 12 C. 1 / 6 D. 5 / Express 5 / 8 as decimals. A B C D Which of the following is not a quadrilateral? A. square B. rectangle C. rhombus D. triangle 21. If P = {multiplies of 3 less than 15}, find P. A. { 3 6 9} B. { } C. { } D. { } 22. The length of a rectangle is four times its width. If its perimeter is 70cm, find its area. A. 7cm B. 14cm 2 C. 28cm D. 196cm Express 35m 6cm 7mm in millimeters. A mm B. 3567mm C mm D mm 24. What is the sum of two smallest prime factors of 250? A. 2 B. 5 C. 7 D When 2011 is divided by 200, the remainder is A. 0 B. 1 C. 11 D Calculate x 3 A. 81 B. 27 C. 23 D If b = 3a and c = 2b, then a + b + c is equal to A. 6a B. 8a C. 10a D. 12a 28. If half of a number is 30, then three quarters of that number is? A. 39 B. 40 C. 42 D Simplify (a + 5) 5 ( 2a 1) A. 7a + 12 B. 13a + 22 C. 7a + 12 D. 7a Arrange the following numbers in ascending order. 7 / 8 83% 0.47 A. 0.47, 83% 7 / 8 B. 7 / 8, 0.47, 83% C. 7 / 8, 83%, 0.47 D. 83%, 0.47, 7 / If 3 2x = 27, what is the value of x? A.1 ½ B. 1 C. 2 / 3 D Evaluate ( 3 ½ / 5 ) ( 3 ½ / 5 ) A. 23 / 47 B. 1 1 / 23 C. 2 1 / 23 D. 4

3 33. How many edges has a rectangular prism? A. 8 B. 10 C. 12 D The perimeter of a rectangular field is 260m. if the length is 30m longer than its width, find its length. A. 50m B. 80m C. 110m D. 130m 35. If a = 2 8 x 3 3 and b = 2 7 x 3 7 find a / b. A. 6 B. 4 ½ C. 2 / 9 D. -2 / Find the sum of the following integers. 18, 24, 16, - 30, 15, -8. A. 1 B. 1 C. 55 D Convert 0.48 into a common fraction in its lowest term. A. 48 / 100 B. 100 / 48 C. 12 / 25 D. 25 / Evaluate A B C D Find the difference between and A B C D Write 11 / 50 in decimal form. A B C D

4 1. Simplify the following without using a calculator. a). 4 + ( - 9) b). 24a 5 3a 2 c) ( - 12 ) d). 3 7 x e). ( ) x [ 2 ( - 3 )] ( 3 marks each) 2. Using a ruler and a pair of compasses only; a(i) Construct a triangle ABC such that, BA = 10cm, angle ABC = 90º and angle BAC = 30º. ii). Measure BC b(i) Bisect the angle ACB to meet BA at D. ii). What type of triangle is CDA? c). Calculate the area of triangle ABC. 4. The ages of 30 teacher trainees were recorded as follows ` a). Make a frequency table for the data b). use your frequency table to find i). the mode ii). The mean

5 SECTION A 1. Find the greatest common factor of 35 and 70. A. 10 B. 35 C. 5 D Write two in base ten. A. 109 B. 31 C. 145 D Expand the expression 2 ( 3a + 2b) A. 10ab B. 6a + 2b C. 5a + 4b D. 6a + 4b 4. How many faces has a closed cylinder? A. 2 B. 3 C. 4 D Express 24 as a product of prime factors. A. 2 3 x 3 2 B. 2 2 x 3 2 C. 2 x3 D. 2 2 x 3 6. Simplify ½ - ¼ + 1 / 8 A. 1 / 6 B. 3 / 8 C. 5 / 8 D. 1 / 8 7. Simplify 7( y + 1) 2 ( 2y + 3) A. 3y +1 B. 3y + 4 C. 3y 5 D. 3y 2 8. If 4(m + 4) = 18, find the value of m A. 3 / 2 B. 5 / 2 C. 7 / 2 D. ½ 9. A square of sides 6cm has the same area as a rectangle of length 9cm. find the breath of the rectangle. A. 3cm B. 4cm C. 6cm D. 2cm 10. In the diagram LM and PQ are parallel lines. L v P M Q Find the value of V. A. 32º B. 40º C. 48º D. 148º 11. The figure is the net of A. pyramid B. cone C. cylinder D. triangle 12.Convert 206 to base five A five B. 411 five C five C five 13. Which of the following inequalities is represented by the number line below? A. x -3 B. x - 3 C. x < - 3 D. x > - 3

6 14. The product of three numbers is Two of the numbers are 3 and 21. Find the third number. A. 399 B. 19 C. 57 D Simplify ( 2ab 2 ) ( 3a 2 b 2 ) A. 6a 3 b 4 B. 5a 2 b 2 C. 6a 2 b 2 D. 5a 2 b Simplify 7a 3 ( b a ) A. 8a 3b B. 10a 3b C. 4a 3b D. 4a + 3b 17. If a*b = 2a b, evaluate 4*3. A. 5 B. 1 C. 2 D Solve the equation 13x 2 ( 3x + 4) = 22 A. 5 B. 4 C. 26 / 7 D. 30 / Name the figure below A. parallelogram B. pyramid C. cone D. tetrahedron. 20. The circumference of a circular track is 154m. find the diameter. A. 49.0m B m C. 22.0m D. 24.5m 21. The addition below was carried out in base x. find x: x x x A. three B. five C. six D. four girls can weed a plot of land in 20days. How many days will 4girls take to weed the same plot of land working at the same rate? A. 16 days B. 6 days C. 8 days D. 12 days 23. Express in standard form A x 10-2 B x 10 2 C x 10 D x A mapping is defined by x 2x 2 1. What is the image of 3 under the mapping? A. 15 B. 17 C. 11 D If r = m +1 express m in terms of r. m 1 A. m = r +1 B. m = 2r + 1 C. m = r + 1 D. m = 2r 1 R 1 r + 1 2r + 1 r Expand (2a b) (a + b) A. 2a 2 3ab b 2 B. 2a 2 ab b 2 C. 2a 2 + ab - b 2 D. 2a 2 + 3ab +b Yakubu,Seidu and Amina shared an amount of money in the ratio 4:5:6. Find how much was shared if Amina received 42, A. 80, B. 88, C. 96, D. 105,000.00

7 28. Which of these has the least number of lines of symmetry? A. a kite B. an equilateral triangle C. a rectangle D. a circle The table below gives the number of goals scored by a football team in a league season. No. of goals scored in a match frequency Use this information to answer questions find the total number of goals scored by the team. A. 41 B. 40 C. 30 D What is the mean number of goals scored by the team? A. 5 B. 4 C. 6 D What is the total number of matches played in the league season? A. 15 B. 16 C. 19 D In a basket, there are 24 good oranges and the rest of them are bad oranges. The ratio of good oranges to the bad oranges is 3:1. How many oranges are there in the basket? A. 8 oranges B. 28 oranges C. 32 oranges D. 36 oranges 33. It takes 8 hours to fill 4 / 5 of a container with water. The time in hours that it takes to fill the remainder of the container at the same rate is A. 1 hour B. 2 hours C. 3 hours D. 10 hours A rectangular tank has length 3m, width 2m and height 1.5m. use the above information to answer questions 34 and If the tank is filled with water to 2 / 3 of its capacity, calculate the volume of the water in the tank. A. 2.5m 3 B. 3.0m 3 C. 4.5m 3 D. 6.0m A water company charges for every 1m 3 of water. Find how much it will cost to fill the tank completely. A B C D If b = 3a and c = 2b, then a + b + c is equal to A. 6a B. 8a C. 10a D. 12a Use the diagram to answer questions 37 and Find the value of x A. 80º B. 70º C. 55º D. 50º

8 38. What type of triangle is PQR? A. scalene triangle B. right- angle triangle C. isosceles triangle D. equilateral triangle 39. The perimeter of a rectangular field is 260m. if the length is 30m longer than its width, find its length. A. 50m B. 80m C. 110m D. 130m 40. The perimeter of a semi circle field is 36m. Find the radius of the semi circular field [Take = 22 / 7 ] A. 3.5m B. 4m C. 7m D. 14m SECTION B ATTTEMPT ALL QUESTIONS 1. Using a ruler and a pair of compasses only; a(i) Construct a triangle ABC such that BA = 10cm, angle ABC = 90º and angle BAC = 30º ii). Measure BC b(i). Bisect the angle ACB to meet BA at D ii). What type of triangle is CDA? c). Calculate the area of triangle ABC. 2. The diagram below is a pyramid on a square based prism with height of pyramid 15cm. The volume of the pyramid is 80cm 3. Find a). The length of the sides of the base b). The volume of the square prism c). Total volume of the diagram. 3.(a).Paton, Godwin and Frank enter into partnership and agree to share the total profit in the ratio of their investment. Paton invested GH 450, Godwin invested GH 150 and Frank invested GH 600. Frank received a profit of GH Find i). The total profit ii). The profits made by Paton and Godwin b). If 3 boys shared x oranges among themselves in the ratio 3:5:8 and the smallest share was 45 oranges, find the value of x. 4a. Copy and complete the table below for the relation y = ½ x+1. Plot the points on a graph sheet and draw a straight line through the points. x y b). Find the gradient of the straight line.

Preliminary chapter: Review of previous coursework. Objectives

Preliminary chapter: Review of previous coursework Objectives By the end of this chapter the student should be able to recall, from Books 1 and 2 of New General Mathematics, the facts and methods that