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. 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? 1,000 m 500 m 2,000 m 1154.7 m2. The difference in longitude betweenP(55°N, 12°W) and Q(15°S, 65°W) is 40° 70° 77° 53°3. The probability that a baby born by a certain couple will grow up to be tall is 1/4. The probability that the couple will have a tall daughter is 3/8 1/8 1/4 1/24. Arrange the following numbers in ascending order of magnitude 5/6, 11/13, 0.837 0.837, 5/6, 11/13 5/6, 0.837, 11/13 11/13, 5/6, 0.837 0.837, 11/13, 5/6 5/6, 11/13, 0.8375. If x² > 4x - 3, then x < 1 x < 1 or x > 3 3 < x < 1 1 < x < 3 x > 36. Correct adjectival order?A plastic black bag. False True7. If two triangles are similar, thenI. the corresponding angles are similarII. the areas of the triangles are in the same ratio as the lengths of the corresponding sides.III. the triangles are congruent.IV. the corresponding sides are proportional.Which of the above statements are CORRECT? III and IV only all of the above I, III and IV only I, II and III only I and II only8. Choose the word that best completes the sentence:In the factory, men are getting paid more than women and we need to do away with this __________. animosity anger anomaly announcement angle9. Choose the word that best completes the sentence:He gave us a _______ account of all that you had achieved over there. ready glowing careless yellow luxury10. Anne spent a quarter of her food budget on provisions, half the balance on staples and one-third of the remainder on beef. If she was left with $350, how much was her food budget? $1,400 $2,100 $700 $1,050 $80011. The number 1.5714286, corrected to five decimal places, is 1.5714 1.57143 1.57100 1.57140 1.5714012. Find the suitable word close to the word ZENITH Pinnacle Middle Nadir Under13. Choose the word that best completes the sentence:I don't like this at all. It's a really _________ affair. outside dangerous ugly unfair inside14. If -1 is a root of the equation -ax² + 6x + 8 = 0, the value of 'a' -1 2 1 -215. 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 is 1/4 1/3 1 7/18 4/916. The baking recipe for a piece of cake is given as 1.5 cups of sugar and 3.5 cups of flour. If a cake is baked, based on this recipe with a total of 40 cups of sugar and flour, find the number of cups of sugar used. 15 8 18 12 2017. Which of the following points is located on the curve y =2x² - 3x - 5 ? (2, -1) (0, 5) (3,4) (1, 3)18. 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 is 900 cm3 1500 cm3 864 cm3 540 cm319. In a Year 12 class of 45 students, every student has to offer either Chemistry or Economics or both. If 25 students offer Chemistry while 34 offer Economics,how many students offer both subjects? 14 20 15 1120. Choose the word that best completes the sentence:Elize and Raveshan _____ our new project managers. are was has is21. 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? $160,000 $80,000 $100,000 $140,000 $120,00022. Simplify: (9^{-1/2 }× 81^{3/4}) ÷ (9^{1/2}) 9 3 1/9 1 1/323. What is 0.021728 to 3 significant figures? 0.022 0.0218 0.0217 0.02173 0.02124. Choose the word that best completes the sentence:They don`t always agree but I think there is a bond of _______ affection between them. somewhat deep sweet unseen ugly25. If (x-y)² = 1 and xy = 2, the positive value of 1/x + 1/y is 1 2/3 3/2 1/226. If 45% of the Nigerian naira (N) is equal to 35% of the American dollar ($), the conversion rate of $1 = N 9/7 N 20/7 N 7/20 N 20/9 N 7/927. A die is thrown and a coin is tossed. Find the probability that the die shows an even number and the coin shows a head 1/2 1/4 1 1/6 4/628. A motorist drives Lagos to Abuja at an average speed of 80km/hr and immediately returns from Abuja to Lagos through the same route at an average speed of 50 km/hr. The average speed for the round trip journey is 60.0km/hr 65.0km/hr 53.3km/hr 62.5km/hr29. A binary operation * is defined over the set of real numbers such thata * b = a (b + 2). Find 3 * (4 * 2). 18 60 80 54 7230. If the point (m, -n) lies in the second quadrant, which of the following is true? m < 0, n < 0 m < 0, n > 0 m > 0, n > 0 m > 0, n < 031. Evaluate correct to two decimal places 50 + 1/50 + 3/500 + 25/5000 50.02 50.25 50.03 50.20 50.3032. The values of tan 225° and tan 315° are respectively -1 and -1 1 and 1 -1 and 1 1 and -133. 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 is 2,502.5 km 5, 005.0 km 4,718.8 km 2,359.4 km34. Points X and Y are respectively 48m North and 20m East of point Z. The distance /XY/ is 44m 52m 60m 68m35. 33 of the students in a grade 9 class play either football or table tennis. If 22 students play football and 18 play table tennis, how many students play football only? 15 17 7 1136. A girl walks 30 m from a point P on a bearing of 040º to a point Q. She then walks 30 m on a bearing of 140º to a point R. How far is R from P 38.6 km 25.2 km 30 km 42.4 km37. Choose the word that best completes the sentence:I don`t know what she earns exactly but I do know it is a vast _________. alarm alternative allowance amount ambition38. Correct 0.3748 to two significant figures. 0.30 0.37 0.40 0.39 0.3839. Solve for y: 27^{y/2 }= 3^{3/4} × 9^{-1/4} 1/6 1/3 1/2 6 340. The variance for the set of numbers 3, 6, 9, 12, 15 is 18 12 15 24 3641. If 19x = 240² - 235², the value of x is 25 205 125 9542. If ax² + 6x + k is a perfect square, then k equals 9 9/a 3 9a 3/a43. An arithmetic sequence has five terms between 2 and 20. Determine the fourth term of the sequence. 12 14 18 8 1144. A cone of height 12 cm has a volume of 330 cm³. The volume of a cone wih the same radius but of height 8cm is 300 cm3 146 2/3 cm3 220 cm3 270 cm345. In a mock quiz taken by 40 boys and y girls, the mean scores were 5.5 and 6 respectively. If the total score was 412, find the value of y 32 34 30 36 3846 out of 45Time is Up!