KJSEA Grade 9 Mathematics revision paper set 1 - solved in video format

Master the KJSEA Grade 9 Mathematics exam with this fully solved revision paper set 1. Get detailed, step-by-step solutions and accompanying video explanations to understand key concepts and ace your final assessment.

Total of 35 Lessons

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1.  Which of the following is NOT an integer? A. -7 B. 0 C. 3.5 D. 14(1:11)
2.  The matrix #[[3,2],[7,5]]# is of order: A. 1×2 B. 2×1 C. 2×2 D. 3×3(1:37)
3.  Below is a cylinder.What is half the volume of the cylinder? A. 2016 cm³ B. 2560 cm³ C. 2944 cm³ D. 3072 cm³ (5:57)
4.  If the price of an item is Ksh 480 after a 20% discount, what was the original price? A. Ksh 384 B. Ksh 576 C. Ksh 600 D. Ksh 720(4:02)
5.  The equation 2x+3=7 has the solution: A. 2 B. 5 C. -2 D. 10(1:30)
6.  The area of the trapezium EFGH shown below is #66 cm^2# What is the length of EF? A. 4cm B. 8cm C. 15cm D. 22cm(4:25)
7.  Which inequality represents “y is less than or equal to 5”? A. y≥5 B. y≤5 C. y>5 D. y<5(1:59)
8.  Find the gradient of the line 4x−2y+8=0. A. 2 B. -2 C. 1/2 D. -1/2(4:14)
9.  A cyclist travels from home to town and back. What is his speed in km/h? A. 7.5km/h B. 120 km/h C. 30 km/h D. 15 km/h(3:06)
10.  The density of a substance is 2.5 g/cm³. What is the mass of 10 cm³ of the substance? A. 0.25 g B. 2.5 g C. 25 g D. 250 g(2:29)
11.  Round off 45.6789 to 3 significant figures. A. 45.7 B. 45.67 C. 45.68 D. 46(7:24)
12.  Which of the following is a solution to the inequality 2x−3>2 A. x=3 B. x=1 C. x=0 D. x=−1(1:54)
13.  Given simultaneous equations: 2x+y=10 x−y=2 Find the values of x and y. A. x=3,y=4 B. x=4,y=2 C. x=2,y=6 D. x=5,y=0(8:49)
14.  Which of the following is a logarithmic expression? A. log28 B. 23 C. 3+5 D. #x^2#(1:37)
15.  Peter has sh x and Maria has four times as much money as Peter. Ali has sh 7 less than Maria. How much money do they have altogether? A. sh (5x-7) B. sh (6.x-7) C. sh (9x-7) D. sh (9x + 7)(2:20)
16.  Find the area of a trapezium with parallel sides of lengths 8 cm and 5 cm, and height 6 cm. A. 39 cm² B. 26 cm² C. 40 cm² D. 78 cm²(3:12)
17.  Twenty four men working at the same rate can finish a job in 6 days. Eight men failed to turn up to do the job. How many more days will the remaining men working at the same rate take to finish the same job? A. 3 B. 4 C. 9 D. 15(3:45)
18.  In the figure shown below, line EF is parallel to line GH. Line MN is a transversal. Which one of the following statements is correct? (6:18)
19.  The number of fish sold by a fish monger was represented in a bar graph as shown. On which two consecutive days did the fish monger sell the highest number of fish? A. Tuesday and Wednesday B. Monday and Tuesday C. Thursday and Friday D. Wednesday and Thursday .(3:32)
20.  A school is organizing a trip for 150 learners. They hire buses that can each carry a maximum of 35 learners. a) How many buses are needed for the trip? (2 marks) b) The cost of hiring each bus is Ksh 12,000. Calculate the total cost of hiring the buses. (2 marks) c) The school also budgets Ksh 80 per learner for meals during the trip. Calculate the total cost of meals for all the learners. (12:00)
21.  A farmer has a rectangular piece of land measuring 80 meters long and 50 meters wide. a) Calculate the area of the farmer's land in square meters. (2 marks) b) Calculate the perimeter of the land. (2 marks) c) The farmer decides to fence the land using wire mesh. The cost of the wire mesh is Ksh 150 per meter. What will be the total cost of fencing the land? (2 marks) d) The farmer plants maize(13:16)
22.  A shopkeeper buys 200 packets of juice at Ksh 25 per packet. a) What is the total cost of the juice packets? (2 marks) b) The shopkeeper sells each packet of juice at Ksh 40. What is the total revenue from selling all the juice packets? (2 marks) c) Calculate the profit made by the shopkeeper. (2 marks) d) The shopkeeper offers a discount of 10% on the selling price for customers who buy more than(15:48)
23.  Given matrices A=#[[2,3],[4,1]]# and matrix B=#[[5,1],[0,3]]# find the matrix A+B. (3 marks)(4:09)
24.  A bag contains 5 red, 3 blue, and 2 green balls. A ball is drawn at random. What is the probability that the ball is not red? (3 marks)(5:01)
25.  A trader exchanged 20,000 Kenyan shillings (Ksh) for US dollars at the rate of Ksh 120 = 1 USD. How many US dollars did the trader receive? (3 marks)(1:48)
26.  A rectangular tank measures 2 m by 1.5 m by 1 m. Calculate the capacity of the tank in liters. (1 m³ = 1000 liters) (3 marks)(2:04)
27.  A cylinder has radius 7 cm and height 10 cm. Calculate the total surface area of the cylinder. Use π=3.142. (4 marks)(6:14)
28.  A mass of 1500 g occupies a volume of 500 cm³. Calculate the density of the substance. (2 marks)(3:06)
29.  Find the approximate value of square root of 50 to 3 significant figures. (2 marks)(1:32)
30.  Express #log_10 1000# as a simple number. (2 marks)(2:42)
31.  Solve the simultaneous equations: (4 marks) 3x+2y=12 x−y=3(3:54)
32.  The number of learners selected to represent their school in various ball games was recorded as shown in the table below. Represent the number of learners selected for each game on a pie chart. (3 marks)(8:04)
33.  A line passes through the point (2, 3) and has a gradient of 4. Find its equation in the form y=mx+c. hence draw the line in the graph below (3 marks) (8:58)
34.  Two triangles A and B are drawn in a grid as shown. Triangle B is an enlargement of triangle A (a) Determine the scale factor of the enlargement. (2 marks) (b) On the grid, mark point X, the centre of the enlargement. (1 mark)(5:39)
35.  (a) Draw a Cartesian plane showing the x-axis and y-axis from -5 to 5 (b) Plot the points P(1, 3) and Q(-2, -3). (2 marks) (c) Draw the line passing through points P and Q. Find the equation of this line. (3 marks)(8:14)
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