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KUMON LEVEL N TEST EXAM 2024 WITH 100% CORRECT ANSWERS

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1. Given the fixed points F(0 ,√5) and F' (0 ,-√5), obtain the equation of the locus point P(x, y), such that PF +PF' = 8 Answer - √[x^2+(y-V5)^2]+√[x^2+(y+V5)^2]=8 x^2/11+y^2/16 = 1 2 Graph the region satisfying the given system of inequalities, and then state the range of values x and...

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  • February 12, 2024
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  • 2023/2024
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KUMON LEVEL N TEST EXAM 2024
WITH 100% CORRECT ANSWERS

1. Given the fixed points F(0 ,√5) and F' (0 ,-√5), obtain the equation of the locus point P(x, y), such that
PF +PF' = 8 Answer✔✔ - √[x^2+(y-V5)^2]+√[x^2+(y+V5)^2]=8

x^2/11+y^2/16 = 1



2 Graph the region satisfying the given system of inequalities, and then state the range of values x and y

x-y+1 ≥ 0

5-2x-y ≥ 0 Answer✔✔ - all real numbers for x, y ≤ 7/3



3. Obtain the 30th term of an arithmetic sequence whose 5th term is -3 and whose 14th term is 24.
Answer✔✔ - a+4d=-3, a+13d=24, a=-15, d=3

72



4. Obtain the sum of the following arithmetic sequence.

-15, -10, -5, 0, ... (through the 12th term) Answer✔✔ - 150



5. 4

Σ (3k - 2) =

k=1 Answer✔✔ - 22



6. Obtain the 1st term and common ratio of a geometric sequence whose 5th term is 24 and 7th term is
96

First term:

Common ratio: Answer✔✔ - ar^4=24, ar^6=96

1st term: 3/2

Common ratio: ±2

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