ADVANCED ARITHMETIC ACES
Grade 7 & Grade 8
SAMPLE TEST
1. What is 3(4 − 5) − (9 + 12)?
a. -24
b. -18
2. Simplify
c. 6
d. 12
𝑛5 ×𝑛4
.
(𝑛+𝑛)2
a. 0
b. 𝑛
c.
d.
𝑛7
4
1
𝑛3
3. Set N has 52 elements, set M has 21 elements, and set C is the combination of set N and M has 65
elements. How many elements does set P have if it is an intersection of set N and set M?
a. 5
c. 11
b. 8
d. 14
3
7
4. What number is midway between 5 − 4 𝑎𝑛𝑑 6 + 5?
a. 85
b. 148
c.
d.
233
40
304
15
5. Find the mean of the following data values: 16,14, 23, 25, 29,15,14.
a. 17.13
c. 19.43
b. 18.53
d. 20.33
6. Three exterior angles of a hexagon are 70°, 50°, and 80°. The remaining three exterior angles are in the
ratio of 2:3:4. Find the largest of these three interior angles.
a. 53.47
c. 69.30
b. 57.82
d. 71.11
7. Find the value of x if 23𝑥+2 = 32.
a. 3
b. 2
c. 1
d. 0
8. A die is rolled. Find the probability that the number that comes up is not a multiple of 4.
a. 5/6
c. ½
b. 2/3
d. 1/3
9. A rectangular prism has a length of 3√5 − 2 cm, width of 6 + √5 cm and height of 2√5 + 5 cm. What is
the volume of the prism.
a. 86√5 + 175 𝑐𝑚3
c. 97√5 + 93 𝑐𝑚3
b. 90√5 + 68 𝑐𝑚3
d. 102√5 + 24 𝑐𝑚3
15 26
10. Which one is the smallest 3.16, 𝜋, 4 , 8 ?
a. 3.16
b. 𝜋
c.
d.
11. If 𝑓(𝑥) = 12 − 𝑥 + 2𝑥 2 , what is 𝑓(2) − 𝑓(0)?
a. 6
b. 14
15
4
26
8
c. 28
d. 30
12. The sum of three consecutive integers is 99. What is the middle number?
a. 33
c. 28
b. 30
d. 24
13. The legs of an isosceles right triangles are each 6cm long. What is the perimeter of the triangle?
a. 16 cm
c. 12 + 6√2 𝑐𝑚
b. 20 cm
d. 21 + 3√2 cm
14. What is the unit digit od the sum of 5933 + 1693 ?
a. 1
b. 3
c. 6
d. 9
15. If 8 days from now will be Tuesday, what day was it 5 days ago?
a. Monday
c. Wednesday
b. Tuesday
d. Thursday
16. How many squares are there on a standard 4x4 checkerboard?
a. 24
c. 36
b. 30
d. 44
17. How man 5 digits numbers can you make using all the digits 0, 5, 6, 9, 8?
a. 42
c. 81
b. 67
d. 96
18. What is the numerical coefficient of the middle term of the binomial expansion (𝑥 + 1)4 ?
a. 2
c. 14
b. 6
d. 23
11
3
10
19. Solve the equation 𝑥+1 − 𝑥−1 = 𝑥 2 −1.
a. 28
b. 15
c. 7
d. 3
20. The mean of seven consecutive odd integers is 21. What is the smallest of these integers?
a. 15
c. 27
b. 21
d. 33