24/09/2019 Free Test British Junior Checkpoint 0Comments by Gate Academy Please, fill out the information below to continue. Note: This is a sample test, and you can only take it for a limited period, after which you will be required to subscribe to a plan NAME EMAIL PHONE NUMBER 1. A bucket in the form of a truncated cone of end radii 14cm and 21cm, and height of 30cm. What is the capacity of the bucket?12,320 cm³53,900 cm³41,580 cm³29,260 cm³15,300 cm³2. A die is thrown and a coin is tossed. Find the probability that the die shows an even number and the coin shows a head4/61/41/211/63. Choose the word that best completes the sentence:There is always a lot of ________ activity going on but nothing much seems to get done!yellowlatestgrudgingfreneticcareless4. The minimum point on the curve y = x² - 4x + 3 is(0, 3)(1, 0)(2, -4)(2, -1)5. If (2x - 3)/2x(2x + 1) = P/(2x + 1) + Q/2x. What are the values of P & Q respectively?0, -32, 33, 44, -32, -36. Correct 0.3748 to two significant figures.0.300.400.390.370.387. Choose the word that best completes the sentence:The poor ______ suffering.werewasareis8. Choose the option that best completes the sentence:My uncle wore a _________ to the wedding.silk tie bluetie blue silksilk blue tieblue silk tie9. A worker employed in 1992 on a salary of $50,000 a year had his salary increased annually in arithmetic progression. If his salary in 1997 was $80,000, what was his salary in 1995?$68,000$62,000$65,000$70,000$56,00010. Solve the simultaneous equations2/x + 1/y = 33/x - 2/y = 8x = -1, y = 2x = 1, y = 2x = 1/2, y = 1x = 1/2, y = -1x = 1, y = -211. The ratio of the sides of two similar rectangular blocks is 5 : 3. If the volume of the smaller block is 324 cm³, that of the other block is900 cm3540 cm3864 cm31500 cm312. The greatest value of an integer x which satisfies the inequality 2 - 4x > 15 is-4-2-33413. Choose the word that best completes the sentence:The creator and the distributor of the furniture _____ to sign that petition.iswasarehas14. A rectangle is formed from a square by increasing the latter's length by 50% while reducing its width by 50%. What is the ratio of the area of the rectangle to that of the square?4 : 94 : 33 : 23 : 42 : 315. The prime factors of 1260 are2,3,5,72,5,92,7,92,3,7,916. Choose the option that best completes the sentence:The cookies that you ____________.baked smell delicioussmell baked delicioussmell delicious bakeddelicious smell baked17. If a = x^{1/3}, find log_{a}x^{3}1/931/31918. Evaluate: 81^{-1/4 } × 36^{1/2 }×10^{0}10120319. If tan θ = 5/12,then the value of sin θ - cos θ is- 7/135/1312/137/1320. Jessica sold her airpod set to Tolu at a profit of 10% and Tolu sold it for $2,612.50 at a loss of 5%. What was the cost of the airpod set to Jessica?$2,272$2,375$2,500$2,488$2,65021. The angle of elevation of the top of a tower from an observer on the ground is 60°. If the top of the tower is 100 m away from the observer, how high is the tower?200 m86.6 m173.2 m50 m22. Two sectors of the same circle subtend angles of 75° and 30° at the centre of the circle. Their areas are in the ratio5:2√5:√23:12:525:423. Correct each of the numbers 38.7152 and 0.05381 to two significant figures and find their product , correct to two significant figures.2.62.10.212.01.924. A pump P can fill a water tank in 5hrs. With a second pump Q also operating, the tank can be filled in 2hrs. Pump Q operating alone can fill the tank in2hrs7/2hrs4hrs10/3hrs3hrs25. In a game involving two dice, Kamsi will win if she throws at least one six, or the sum of the numbers is 10. The probability of Kamsi winning at the next throw is17/181/34/91/426. What is the sum of the following number in base two?1101, 1110, 1001.1000010011010010010011110001027. Convert 69_{10 }to a number in base two10010110011011000101101000128. Factorize : Pqx^{2}+ 12y - 4qx - 3pxy(qx-4)(px+3y)(px-3y)(qx-4)(px-4)(qx-3y)(px+q) (x-12y)29. The 5th and 10th terms of an AP are 0 and 10 respectively, the 20th term is2030364030. If 45% of the Nigerian naira (N) is equal to 35% of the American dollar ($), the conversion rate of $1 =N 7/9N 9/7N 20/7N 7/20N 20/931. Factorize: 9 - (a²-3a-1)²-(a-2)(a+1)(a+2)(a+4)(a-4)(a-2)(a-1)(a+1)-(a-4)(a+1)(a-1)(a-2)(a-4)(a-3)(a-2)(a+1)32. A ladder resting against a vertical wall makes an angle tan-¹(2.4) with the ground. If the foot of the ladder is 1 m from the wall, what is the length of the ladder?5.2 m2.4 m2.6 m1 m33. Which of the following points is located on the curve y =2x² - 3x - 5 ?(0, 5)(3,4)(1, 3)(2, -1)34. If there is no stop-over at Dubai, and the average speed of the airplane is 500km/hr, the total time taken for the plane to fly from Lagos to Kuala Lumpur via Dubai is approximately10 h8 h5 h7 h35. The interior angles of a polygon add up tp 1980°. How many sides has the polygon?1513101236. The subsets X,Y and Z of a universal set are defined asX = {a, e, m, p} ; Y = {a, e, i, o, u} andZ = {l, m, n, o, p, q, r, s, t, u}The elements of X ∪ (Y ∩ Z) are{a, e, m, p, u}{a, e, m, o, p}{a, e, m, o, p, u}{m, p, o, u}37. Evaluate11010_{2 }- 11011_{2 }+ 10011_{2}11000 base 210010 base 211001 base 21001 base 238. Two men and six boys can cut a field in 3 hours. If the men work at 3/2 times that of the boys, how many men are required to cut the field in 2 hours?84691139. The length of a rod was given as 35cm correct to the nearest centimetre. The actual length lies within the range34.1 - 35.9cm34.9 - 35.1cm34.95 - 35.05cm34.5 - 35.5cm40. A die is rolled 100 times with the following outcomes:Number 1 2 3 4 5 6Frequency 15 20 18 14 17 16The experimental probability of obtaining a 2 is0.800.100.400.2041. An observer on the ground views an airplane of altitude 1,000 m at an angle of elevation of 30°. How far is the plane from the observer?2,000 m1,000 m500 m1154.7 m42. What is the common factor to the binomial expressions 4x²-9y², 8x³+27y³ and (4x+6y)² ?4x-6y2x+3y4x+6y2x-3y43. Choose the word that best completes the sentence:The board ______ to make the decision by next Thursday.havewantswanthas44. All the vertices of an isosceles triangle lie on a circle and each of the base angles of the triangle is 65°. The angle subtended at the centre of the circle by the base of the triangle is100 degrees130 degrees65 degrees115 degrees45. When the price of eggs was raised by £2 an egg, the number of eggs which can be bought by Tara for £120 is reduced by 5. What is the present price that Tara would buy an egg?£8£7£6£1046 out of 45Time is Up! Time's up