24/09/2019Free 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. Jasmin invested a total of $200,000 in two companies which paid dividends of 5% and 7% respectively. How much did she invest at 7% if she received a total of $11,600?$140,000$120,000$160,000$80,000$100,0002. Two cities London and Lagos are on latitude 60°N and their longitudes are 17°W and 28°E respectively. If R = 6,370 km and π = 22/7, the distance between London and Lagos, measured along the parallel of latitude is2,502.5 km5, 005.0 km2,359.4 km4,718.8 km3. Find m if: 9^{(m + 1)} × 3 = 27^{-m}3/5-1/3-3/51/334. The variance for the set of numbers 3, 6, 9, 12, 15 is18361524125. If 101010_{2 }= x_{10 }+ 1111_{2,} the value of x is321927136. If (x-1), x, (x+2) form an exponential sequence. What is the value of x?01-22-17. X, Y, and Z are subsets of U = {1, 2, 3, 4, 5}. If X∪Z = U, X∩Z = Ø, X∪Y = {2, 3} and Y∩Z = Ø, then Z is{1, 4, 5}ØU{1}{1, 5}8. The probability of obtaining a number less than 5 in a single toss of a fair die is2/31/61/21/39. Sinθ Cotθ is equal toSinθTanθSecθCosθCosecθ10. Choose the word that best completes the sentence:The creator and the distributor of the furniture _____ to sign that petition.arewasishas11. The length of a rod was given as 35cm correct to the nearest centimetre. The actual length lies within the range34.9 - 35.1cm34.5 - 35.5cm34.1 - 35.9cm34.95 - 35.05cm12. A ______ of books. (Fill in the blanks)grouppackcourseliberty13. If -1 is a root of the equation -ax² + 6x + 8 = 0, the value of 'a'12-1-214. In a Yr 8 class of 60 students in a Nigerian school, 40 speak Hausa while 19 speak Igbo and 7 students speak both languages. How many students speak neither of the languages?7611815. Of the 30 students in a class, 8 surnames begin with A or O and 18 begin with a consonant.No surname begins with any of the letters C,Q,U, V,X,Y and Z.The probability that a surname selected randomly begins with E or I is13/153/54/152/1516. An inelastic string of length 1.0 m anchored to a point X has a stone tied to the end Y.How high does the stone rise when the string XY is inclined at 30° to the original vertical position?1/2 m0.134 m0.866 m1.155 m17. How long will it take for a sum of money invested at 8% simple interest to double the original sum?8 yrs12.5 yrs10.5 yrs12 yrs18. Reduce each number in the following expressions to two significant figures and then evaluate: ( 0.04371 × 2.44913 ) ÷ 0.0475122.41.81.62.22.619. Which of the following operations is/are NOT closed over the set of odd integers?I. DivisionII. SubtractionIII. AdditionIV. MultiplicationIV onlynone of the aboveI, II & III onlyall of the aboveI & III only20. The reciprocal of 1/4 ÷ (1/3 + 3/4) is10/93/1313/39/88/921. The probability that a number selected at random from 1 to 40 is a multiple of 7 is1/83/201/107/2022. The locus of a point which is equidistant from the lines y - x = 0 and y + x = 0, for x > 0, is thex-axisline x = yline y = 1line x = 1y-axis23. Correct adjectival order?A young stupid man.FalseTrue24. If tan θ = 5/12,then the value of sin θ - cos θ is7/135/13- 7/1312/1325. 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 be4(3a) + 3a = 20004(a) - 3(3a) = 20004(3a) - 3a = 20004(a) + 3(3a) = 200026. 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 approximately8 h10 h5 h7 h27. Solve for y: 27^{y/2 }= 3^{3/4} × 9^{-1/4}1/31/261/6328. Solve the simultaneous equations2/x + 1/y = 33/x - 2/y = 8x = 1, y = 2x = 1/2, y = -1x = 1, y = -2x = 1/2, y = 1x = -1, y = 229. Which of the following pairs of graphs cannot be used to find the solution to the cubic equation x³ -3x² + 3x - 9 = 0 ?y = x³ -3x² + 3x and y = 9y = x² - 3x + 3and y = 9/xy = x³ -3x² and y = 3x - 9y = x³ and y = 3x² - 3x + 930. 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?$56,000$68,000$65,000$70,000$62,00031. A reception hall is arranged such that the first row contains 10 seats and each successive row has two more seats than the preceding row. The total number of seats in the first twelve rows is22236224025212032. The first winner in a lottery gets N2,000 while subsequent winners get N50 less than the preceding winner. The winner in the 20th position getsN1,100N1,050N1,000N95033. If P = {positive integers less than 20, and divisible by 3} and Q = {odd numbers from 1 to 20 inclusive}, then PnQ is∅P{1,3,9,15}{3,9,15}34. The difference in longitude betweenP(55°N, 12°W) and Q(15°S, 65°W) is53°70°77°40°35. If U = {integers x: 0 < x < 10} P = {prime numbers y: 0 < y < 10}, and Q = {odd numbers z: 0 < z < 10}then P' ∩ Q' is{ 0 }{2, 4, 6, 8}Ø{1, 4, 6, 8}{4, 6, 8}36. Choose the option that best completes the sentence:We bought a pair of ________ shoes.Noneblack leatherBothleather black37. Please _____ your dog. (Fill in the blanks)restrainpreventstopsubdue38. The volume of a cone of radius 6 cm and vertical height 7 cm is take (π= 22/7)21 cm3264 cm326.4 cm342 cm339. 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?2.4 m2.6 m1 m5.2 m40. Evaluate: (2^{-3 }× 16^{3/4} × 2^{0})1/2120-1/241. Solve the equation: 3y^{-2} = 4/2781/4819/22/94/8142. What is the value of 5410_{6 }- 2535_{6 }3241 base 63141 base 74135 base 72431 base 643. The surface area of a sphere of radius 3.5 cm is take (π = 22/7)308 cm2154 cm2616 cm2179 2/3 cm244. Find the lower and upper quartiles for the set of numbers 4, 7, 8, 10, 12, 15, 17, 20, 26, 32, 407, 328, 2610, 208, 207, 2045. 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?11968446 out of 45Time is Up!