ISEE Upper-Level Math FREE Sample Practice Questions

ISEE Upper-Level Math FREE Sample Practice Questions is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.

A. (8 space )cm(^2)

B. (16 space )cm(^2)

C. (48 space )cm(^2)

D. (64 space )cm(^2)

8- If (10 + x^{frac{1}{2}} = 14), then what is the value of (15 × x)?

A. 15

B. 60

C. 120

D. 240

9- Triangle ABC is graphed on a coordinate grid with vertices at A ((-3, -2)), B ((-1, 4)) and C( (7, 9)). Triangle ABC is reflected over (x) axes to create triangle A’B’C’.
Which order pair represents the coordinate of C’?

A. ((7, 9))

B. ((-7, -9))

C. ((-7, 9))

D. ((7, -9))

10- Which set of ordered pairs represents( y) as a function of (x)?

A. ({(3, -2), (3, 7), (9, -8), (4, -7)})

B. ({(4, 2), (3, -9), (5, 8), (4, 7)})

C. ({(9, 12), (5, 7), (6, 11), (5, 18)})

D.( {(6, 1), (3, 1), (0, 5), (4, 5)})

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Answers:

2- D
The difference of the file added, and the file deleted is:
( 652,159 – 599,986 = 52,173)
(937,036 + 52,173 = 989,209)

3- B
5 days 19 hours 35 minutes (- 3) days 12 hours 22 minutes (=) 2 days 7 hours 13 minutes

4- A
Formula of triangle area =( frac{1}{2} (base × height))
Since the angles are (45-45-90), then this is an isosceles triangle, meaning that the base and height of the triangle are equal.
Triangle area = (frac{1}{2})
(base × height) = (frac{1}{2} (2 × 2) = 2)

5- C
(50%) of (84 = 42)
(84 + 42= 126)

6- C
(2(6h, 3) = 30)

7- D
The area of the circle is (16π) cm(^2), then, its diameter is 8cm.
(area space of space a space circle space = πr^2=16π→r^2=16→r=4)
Radius of the circle is 4 and diameter is twice of it, 8.
One side of the square equals the diameter of the circle. Then:
( Area space of space square space = side×side=8×8=64)

8- D
(x^frac{1}{2}) equals to the root of (x). Then:
(10+x^frac{1}{2}=14→10+sqrt x=14→sqrt x=4→x=16)
(x = 16) and (15 × x) equals: (15 × 16 = 240)

9- D
When a point is reflected over (x) axes, the ((y)) coordinate of that point changes to ((-y)) while its (x) coordinate remains the same.
(C (7, 9) → C’ (7, -9))

10- D
A set of ordered pairs represents (y) as a function of (x) if:
( x_1=x_2→y_1=y_2 )
In choice A: ((3, -2)) and ((3, 7)) are ordered pairs with same (x )and different (y), therefore (y) isn’t a function of (x).
In choice B:( (4, 2)) and( (4, 7) )are ordered pairs with same (x )and different (y), therefore( y) isn’t a function of (x).
In choice C: ((5, 7)) and( (5, 18)) are ordered pairs with same( x) and different( y), therefore (y) isn’t a function of (x).

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