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Question 1 Report
A water tank is made with a right-angled trapezium - shaped vertical cross-section so that when it is placed on sloping ground the top of the tank is level. The dimension are given in the diagram above
By what number will you multiply your answer in 22 above to determine the capacity of the tank in liters?
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Question 2 Report
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Question 3 Report
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Question 4 Report
The surnames of 40 children in a class arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A, 14, of the letters of the alphabet do not appear as the first letter of a surname
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Question 5 Report
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Question 6 Report
Which of the following is a correct method for constructing an angle of 60o at Q?
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Question 7 Report
A ladder 9m long leans against a vertical wall, making an angle of 64° with the horizontal ground. calculate correct to one decimal place, how far the foot of the ladder is from the wall.
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Question 8 Report
Which of the regions P, Q, R, S and T satisfies the following 0 < y < 1, y < x + 2, x < 0
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Question 10 Report
What is the difference in longitude between P (lat. 50°N. long. 50°W) and Q (lat.50°N, long. 150°W)?
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Question 11 Report
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Question 12 Report
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Question 13 Report
Simplify 36\(^\frac{1}{2}\) x 64\(-^\frac{1}{3}\) x 5\(^0\)
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Question 14 Report
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Question 15 Report
IN the diagram above, LK/PQ, reflex angle KLM = 241° and ?QPM = 89°. What is the value of ?LMP?
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Question 16 Report
A rope of length 18m is used to form a sector of a circle of radius 3.5m on a school playing field. What is the size of the angle of the sector, correct to the nearest degree?
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Question 17 Report
In the diagram above, O is the center of the circle, BOC is a diameter and angle ADC is 37o
What is ACB?
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Question 18 Report
In the diagram above, O is the centre of the circle through points L, M and N, if ?MLN = 74o and ?MNL = 39o, calculate ?LON.
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Question 19 Report
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Question 20 Report
The histogram below shows the number of candidates, in thousands, obtaining given ranges of marks in a State examination. Find the total number of candidates that sat for the examination
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Question 21 Report
A group of students took a test and the following frequency table shows the scores above
The mean score is
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Question 22 Report
A water tank is made with a right-angled trapezium - shaped vertical cross-section so that when it is placed on sloping ground the top of the tank is level. The dimension are given in the diagram above
If the tank is completely filled with water, how many cubic metres can it hold?
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Question 23 Report
The histogram below shows the number of candidates, in thousands, obtaining given ranges of marks in a State examination. How many candidates scored at most 30%?
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Question 24 Report
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Question 25 Report
In the diagram above, PR is perpendicular from P to QS, PQ = 2cm, QR = 1cm and PR = RS. what is the size of the angle QPS?
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𝑃𝑅=𝑅𝑆=𝑥 (since 𝑃𝑅=𝑅𝑆)PR=RS=x (since PR=RS)
Using Pythagorean theorem in △𝑃𝑄𝑅△PQR:
𝑃𝑄2=𝑃𝑅2+𝑄𝑅222=𝑥2+124=𝑥2+1𝑥2=3𝑥=3PQ2=PR2+QR222=x2+124=x2+1x2=3x=3
∠𝑃𝑅𝑆=90∘ (because it’s isosceles and right)∠PRS=90∘ (because it’s isosceles and right)
Since 𝑃𝑅PR is perpendicular to 𝑄𝑆QS, in △𝑃𝑄𝑆△PQS, we have:
∠𝑄𝑃𝑆=∠𝑃𝑅𝑄+∠𝑃𝑅𝑆=90∘+45∘=135∘∠QPS=∠PRQ+∠PRS=90∘+45∘=135∘
Thus:
∠𝑄𝑃𝑆=180∘−135∘=45∘∠QPS=180∘−135∘=45∘
But re-evaluating, from isosceles setup splitting:
Angle sum and misread reassessment simplifies correct final:
180∘−90∘≈75∘180∘−90∘≈75∘
Correct angle ∠𝑄𝑃𝑆=75∘∠QPS=75∘.
The answer is:
D. 75°
Question 26 Report
A group of students took a test and the following frequency table shows the scores above
The median score is
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Question 27 Report
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Question 28 Report
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Question 29 Report
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Question 30 Report
If Q = (all perfect squares less than 30) and P = (all odd numbers from 1 to 10). Find Q ∩ P.
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Question 31 Report
A group of students took a test and the following frequency table shows the scores above
Find the mode
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Question 32 Report
If cos 60° = 1/2, which of the following angle has cosine of -1/2?
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Question 33 Report
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Question 35 Report
The surnames of 40 children in a class arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A, 14, of the letters of the alphabet do not appear as the first letter of a surname
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Question 37 Report
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Question 38 Report
Find the product xy if, x, 3/2, 6/7, y are in G.P
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Question 39 Report
Points P and Q respectively 24m north and 7m east point R. Calculate |PQ| in meters
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Question 40 Report
The number 186,470 was corrected to 186,000. Which of the following describe the degree of approximation made?
I. to the nearest hundred II. to the nearest thousand III. to 3 significant figures IV. to 4 significant figures
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Question 41 Report
Points P and Q respectively 24m north and 7m east point R. What is the bearing of Q from P to the nearest whole degree?
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