23/04/2020Junior Class NECO/BECE Mock Exams(Mathematics) 0Comments by Gate Academy Please, fill out the information below to continue. NAME EMAIL PHONE NUMBER 1. The difference between two positive integers is 4 and their sum is 12. Find the two positive integers. (4, 2) (10, 6) (6, 3) (12, 6) (8, 4)2. The lowest common multiple of the prime numbers between 1 and 10 is 35 105 210 703. When the monthly budget for a household is displayed on a pie chart, the sectorial angles for the various items of expenditure are as follows: Food (162°), Education (90°), Transportation (36°), Clothing (x°), and miscellaneous (18°). If £900 is the amount budgeted for clothing, then the education budget is £2,000 £1,250 £1,800 £1,500 £9004. If the bearing of B from A is 94°. What is the bearing of A from B? 094° 086°. 004° 274°5. A bearing of 310°, expressed as a compass bearing is S 40° W S 50° W N 50°W N 40° W6. If the mean of the numbers 6, 8, 10, x, 2x - 2 is 14. What is the largest number in the group? 24 16 36 30 207. Factorise 8pq + 24p^{2} completely 8pq(1 + 2p) 2p(4q + 12) 4p(2q + 6p) 8p(q + 3p) 8(pq + 3p²)8. Reduce each number in the following expressions to two significant figures and then evaluate: ( 0.04371 × 2.44913 ) ÷ 0.047512 2.6 2.2 1.8 1.6 2.49. Match the description to one shape:four equal angles quadrilateral rectangle pentagon isosceles triangle hexagon10. Factorise a^{2}c – 2ac^{2} ac(1 - 2c) ac(a - 2c) ac(c - 2a) a(c – 2c²) ac(a -c)11. [ Junior school mathematics ]Find the range of values of y for which satisfies the inequality-2 + y < -y ≤ 4y - 10 y < 1 or y ≥ 2 8 < y ≤ 9 y > -3 or y < 5 1 < y ≤ 212. Find the area of a square with side 7 cm. 343 cm² 10 cm² 35 cm² 14 cm² 49 cm²13. Complete these calculations in this order:0.64 × ................. = 6406400 ÷ ................. = 64................ × 100 = 6.4 1000, 100, 0.064 1000, 10, 0.64 100, 10, 0.064 100, 100, 0.006414. The difference between 0.003286 correct to three significant figures and 0.003286 correct to four decimal places is 0.00009 0.0003 0.00001 0.000004 0.000115. Factorize the expression:x(p-q) + y(q-p) (p+q)(x+y) (p-q)(y-x) (p-q)(x-y) (p+q)(x-y)16. What is the lowest common multiple of the prime numbers between 1 and 10? 105 210 35 90 7017. An equilateral triangle of sides 16 cm has the same perimeter of a square. The area of the square in cm² is? 256 144 64 9618. Three girls Shanon, Tara and Tola shared a packet of sweets. Shanon received 2/5 of the sweets, Tara received 5/9 of the remainder and Tola got 8 sweets. How many sweets were in the packet? 15 20 40 30 2519. Four handbags and three school bags costs $2000 and cost of handbag is thrice as much as schoolbags. If cost of school bag is 'a' then derived equation will be 4(3a) - 3a = 2000 4(a) + 3(3a) = 2000 4(a) - 3(3a) = 2000 4(3a) + 3a = 200020. The expressionis equal to 9/4 3/2 2/3 4/921. What is the value of 5410_{6 }- 2535_{6 } 4135 base 7 3241 base 6 2431 base 6 3141 base 722. Convert 64 in base ten to a number in base 2. 10000 1100000 1000000 101001 1000123. In an examination, 35 out of 125 students failed. What percentage of the students passed? 72% 65% 28% 35% 90%24. Factorize : Pqx^{2}+ 12y - 4qx - 3pxy (qx-4)(px+3y) (px-4)(qx-3y) (px+q) (x-12y) (px-3y)(qx-4)25. Evaluate11010_{2 }- 11011_{2 }+ 10011_{2} 1001 base 2 10010 base 2 11001 base 2 11000 base 226. The difference between two numbers is 4. The result of adding twice the first to the second is 20. Find the values of the numbers in the order (28/3, 40/3) (16, 12) (12, 16) (4, 8) (8, 4)27. Match the description to one shape:five angles isosceles triangle quadrilateral rectangle hexagon pentagon28. Calculate the perimeter of a semi-circle whose diameter is 14 cm. 22 cm 14 cm 11 cm 36 cm 58 cm29. From the top of a building, a boy is watching a lizard on the ground. If the angle of depression of the lizard is 45° and the lizard is 15m away from the building, how high is the building to the nearest metres? 10m 15m 12m 65m 35m30. Determine if 1000 cm³ is less than 1 litre equal to 1 litre more than 1 litre less than 1 litre can't say more than 1 litre equal to 1 litre31. Simplify the expression: (3a + b) - (2a - 2b) 5a + 3b a - b a + 3b a - 3b 5a - 3b32. Factorise: x^{2} – 7x – 30 (x + 1)(x - 30) (x + 2)(x - 15) (x + 6)(x - 5) (x + 3) (x - 10) (x + 5)(x - 6)33. Evaluate: 20 0 1 234. If x varies directly as the square root of n, and x = 9 when n = 9, the value of x when n = 16/9 is 9/4 3/2 16/9 435. A square field has a perimeter of 48 m. Find the area of the field. 12 m² 48 m² 96 m² 24 m² 144 m²36. Find the perimeter of a rectangle of sides (a + 2) and (a - 2). 2a - 4 a + 4 4a 2a 4a - 837. Jennifer and Joseph together have $90. If Jennifer gives Joseph $20 then Joseph will have twice as much money as Jennifer. original amount of money Jennifer and Joseph have is Jennifer = $60, Joseph = $20 Jennifer = $30, Joseph = $45 Jennifer = $25, Joseph = $40 Jennifer = $50, Joseph = $4038. The speed of 144 km/hr, expressed in metres per second is 72 20 40 28 3639. Expand: (a + 2b)(a – 2b) a²-4ab² + b² a² - 4b² a² - 4b² + b² a² + 4ab - 4b² a² + 4b²40. Simplify: (2.5 × 10^{4}) × (2.0 × 10^{-3}) ÷ (12.5 × 10^{5}) 0.00004 0.0005 0.0004 0.005 0.002541. Factorise the expression 25x^{2} – 1 (25x + 1)(x - 1) (5x + 1)(5x + 1) (5x - 1)(5x - 1) (25x - 1)(x + 1) (5x +1)(5x - 1)42. Correct each of the numbers 38.7152 and 0.05381 to two significant figures and find their product , correct to two significant figures. 0.21 2.0 2.1 1.9 2.643. Find the HCF of 63 and 90. 12 3 6 944. A boy was given N 340 to buy the following items in the market: fish for N82.20, garri for N90.30, melon for N30.50 and meat for N120.00. What percentage would be left? 2% 5% 4% 8% 3%45. Which of the following gives the volume of a cylinder of height ‘h’ cm and base radius ‘r’ cm? 2πr²h ¼πr²h πrh 2πrh πr²h46 out of 45Time is Up!