24/09/2019 Free Test British Junior Checkpoint 24/09/2019 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. Choose the option that best completes the sentence:Why can't you wear your __________ dress tonight. pink silk None Both silk pink 2. Solve the equation: 4^{(w - 1)} × 5^{(2w - 2) }× 10^{w }= 1 2/3 3/4 1 4/3 5/4 3. 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(3a) - 3a = 2000 4(a) - 3(3a) = 2000 4(a) + 3(3a) = 2000 4. If the lengths of the sides of a right-angled triangle are given as (x-1), x and (x+1), then the hypotenuse is 13 5 4 7 3 5. The size of each interior angle of a regular polygon with n sides is 160°. The value of n is 16 12 18 14 6. Arrange the following numbers in ascending order of magnitude 5/6, 11/13, 0.837 5/6, 0.837, 11/13 0.837, 11/13, 5/6 11/13, 5/6, 0.837 0.837, 5/6, 11/13 5/6, 11/13, 0.837 7. A number is selected randomly from the set of integers 1 to 20 inclusive. What is the probability that the number is equal to or greater than 15? 3/4 3/10 7/10 1/4 8. Find m if: 9^{(m + 1)} × 3 = 27^{-m} -3/5 -1/3 3 1/3 3/5 9. The surface area of a sphere of radius 3.5 cm is take (π = 22/7) 616 cm2 179 2/3 cm2 154 cm2 308 cm2 10. 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 at most 4 is 0.67 0.14 0.47 0.84 11. 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 {2, 4, 6, 8} {4, 6, 8} Ø { 0 } {1, 4, 6, 8} 12. Evaluate: 27.63² - 22.37² 189.0 263.0 27.7 241.3 13. Given that tan²θ + sec²θ = 3, the value of θ (for 0°<θ<90°) is 45 degrees 30 degrees 60 degrees 90 degrees 14. The profit on a business was shared between two sisters Tara and Tise in the ratio 3 : 4. If Tise received $8,000 more than Tara, find the profit shared. $65,000 $42,000 $24,000 $32,000 $56,000 15. Evaluate: 0.064^{-1/3} 1/2 1/4 5/2 4 2 16. Points X and Y are respectively 48m North and 20m East of point Z. The distance /XY/ is 44m 60m 52m 68m 17. Choose the word that best completes the sentence:The creator and distributor of the software ______ Energesix Ltd. have is has are 18. Choose the word that best completes the sentence:The announcement was made to deafening ___________. appearance applause appetite apology appeal 19. Choose the word that best completes the sentence:I don`t know what she earns exactly but I do know it is a vast _________. amount alarm alternative allowance ambition 20. The locus of a point which is equidistant from the lines y - x = 0 and y + x = 0, for x > 0, is the line y = 1 x-axis line x = 1 line x = y y-axis 21. If m > n, then which of the following is NOT correct for all values of m and n? m² > n² -m² < n² -m < -n m² < n 0 < m - n² 22. 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? 500 m 1,000 m 1154.7 m 2,000 m 23. If a graph of the function y = 3x² -5x - 7 is provided, the roots of the equation 3x² - 2x -5 = 0 are given by the points of intersection of the curve y = 3x² -5x - 7 and the line y = 7x - 12 y = -7x - 2 y = -3x - 2 y = 3x - 2 24. An arithmetic sequence has five terms between 2 and 20. Determine the fourth term of the sequence. 18 8 11 12 14 25. If 2 log_{4}P + log_{4}Q² = 0 , then P = ? 2/Q 1/Q Q PQ Q/2 26. 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. 8 12 18 15 20 27. If P = {3, 1, 0, 5}; Q = {2, 3, 8, 1, 4} and R = {7, 6, 5}, then P ∩ Q ∩ R is {1,3,5} {1} {0} { } 28. Which of the following points is located on the curve y =2x² - 3x - 5 ? (3,4) (1, 3) (0, 5) (2, -1) 29. If X= {1, 2, 3, 4} and Y = {3, 5, 6}, the elements of (X ∩ Y) ∪ X are {1,2,4} {3,5,6} {1,2,3,4} {3} 30. When a polynomial f(x) is divided by (2x - 3), the quotient is x² - x + 2 and the remainder is -1. Find f(x) can't be gotten 2x³ - 5x² + 7x - 7 2x³ + 5x² - 7x + 5 2x³ - 5x² + 7x - 7 2x³ + 5x² - 3x + 7 31. 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? $65,000 $70,000 $56,000 $68,000 $62,000 32. The prime factors of 1260 are 2,7,9 2,3,7,9 2,3,5,7 2,5,9 33. A worker is allowed 10% of her income tax free and pays 15% on the remainder.If her tax amounts to $2,970, her income is $28,000 $22,000 $20,000 $25,000 34. If (x-y)² = 1 and xy = 2, the positive value of 1/x + 1/y is 1/2 2/3 3/2 1 35. From an observation point close to the edge of the sea, a ship is 14 km away on a bearing of 130°.A second ship is 48 km away on a bearing of 220º. The distance separating the ships is 55 km 34 km 50 km 62 km 36. Two events M and N are mutually exclusive and P(M) = ¼ and P(N) = 2/3.P(M∩N) is 1/6 5/12 0 1/3 37. Choose the option that best completes the sentence:The cookies that you ____________. smell delicious baked baked smell delicious smell baked delicious delicious smell baked 38. 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 1/3 4/9 7/18 1/4 1 39. Choose the word that best completes the sentence:The board ______ to make the decision by next Thursday. wants have has want 40. Four books whose authors' surnames start with the letters A, J, P, and W are placed randomly on a shelf. The probability that the books will be arranged in the alphabetical order of the authors' last names is 4/18 1/6 1/12 1/4 1/24 41. A sum of money invested at a simple interest rate R increases to 5/3 times the original sum after 5 years. The value of R is 6.0% 10.5% 9.0% 13.3% 42. The expression (x² - 6x + 9)/x(x² - 9) is undefined for x = 0 or 9 x = 3 x = 0 or 3 x = 0, 3 or -3 x = 0 or -3 43. Simplify: (9^{-1/2 }× 81^{3/4}) ÷ (9^{1/2}) 1/9 1/3 3 9 1 44. The probability of obtaining an odd number in a single toss of a fair die is 2/3 1/3 1/6 1/2 45. Class interval: 10-19 20-29 30-39 40-49Frequency: 2 4 3 1What is the modal score? 27.0 25.5 26.5 26.2 24.5 1 out of 45 Time is Up! Time's up