Enhance Your Skills with Our SAT Numbers and Operations Test/Quiz

30 random questions |30 minutes | Questions are randomized every attempt. Good luck!

SAT Math - Numbers and Operations Practice Test

Test your SAT Math - Numbers & Operations skills with 30 random practice test questions. Great for students preparing for the SAT Math - Numbers & Operations section!

1 / 30

1. What is ∛(−125)?

A) 25

B) −25

C) −5

D) 5

2 / 30

2. What is (x+y)² - (x-y)² equal to?

A) 4y²

B) 2xy

C) 4x²

D) 4xy

3 / 30

3. How many integers in [1,1000] are coprime to 1000?

A) 600

B) 450

C) 500

D) 400

4 / 30

4. What is 7/3 − 5/6?

A) 1/2

B) 3/4... LCD=6. 14/6−5/6=9/6=3/2.

C) 3/2

D) 9/6

5 / 30

5. How many ways to select a team of 4 from 9 players?

A) 110

B) 84

C) 90

D) 126

6 / 30

6. The Stern-Brocot tree enumerates all positive rationals. The left subtree of the root 1/1 contains all rationals:

A) < 1/2

B) < 1

C) > 1

D) = 1

7 / 30

7. A ratio of 3:4 means for every 3, there are 4. If total is 63, the smaller part is:

A) 33

B) 30

C) 27

D) 36

8 / 30

8. What is the value of 4/5 − 3/10?

A) 9/10

B) 7/10

C) 1/10

D) 1/2

9 / 30

9. What is 5/6 × 12/25?

A) 1/2

B) 2/5

C) 60/150

D) 5/12

10 / 30

10. How many prime numbers are between 50 and 70?

A) 6

B) 5

C) 3

D) 4

11 / 30

11. If log₃(2) = a and log₃(5) = b, find log₃(90).

A) a+b+2

B) 2+a+b

C) 2a+b

D) a+2b

12 / 30

12. What is the value of 3 + 4 × 2 − 6 ÷ 3?

A) 3... PEMDAS: 3+8−2=9.

B) 7

C) 5

D) 9

13 / 30

13. For the series 5+10+20+40+..., sum of first 8 terms:

A) 1250... a=5,r=2. S₈=5(2^8-1)=5×255=1275.

B) 1275

C) 1275

D) 1150

14 / 30

14. A recipe for 8 requires 3 cups flour. For 12 servings:

A) 5.5... 3×12/8=4.5.

B) 5

C) 4

D) 4.5

15 / 30

15. Quadratic residues mod 7: which of 1,2,3,4,5,6 are QR?

A) 1,2,3

B) 1,3,4

C) 1,2,4

D) 2,4,5

16 / 30

16. What is the value of 10⁰?

A) 100

B) 0

C) 10

D) 1

17 / 30

17. What is gcd(n!+1, (n+1)!+1)?

A) gcd(n!+1,n!+1)... gcd(n!+1,(n+1)(n!)+1)=gcd(n!+1, n·n!+1)=gcd(n!+1,n·(n!+1)-(n-1))=gcd(n!+1,n-1)

B) n!

C) 1

D) n+1

18 / 30

18. The last non-zero digit of 10! is:

A) 4

B) 8

C) 6

D) 2

19 / 30

19. Express 1.25 × 10^6 in standard form.

A) 12500000... 1.25×10^6=1,250,000.

B) 1250000

C) 12500

D) 125000

20 / 30

20. The HCF of 42, 63, and 84 is:

A) 21

B) 14

C) 42

D) 7

21 / 30

21. Which is equivalent to 0.0036?

A) 3.6×10^-4... wait: 0.0036=3.6×10^-3.

B) 36×10^-4

C) Both A and B

D) 3.6×10^-3

22 / 30

22. What is 9 + 3/4 ÷ 3?

A) 9.25

B) 3

C) 10

D) 9.75

23 / 30

23. What is 7/12 × 36?

A) 23

B) 19

C) 17

D) 21

24 / 30

24. The four-color theorem states that any planar map can be colored with at most:

A) 3

B) 5

C) 6 colors

D) 4

25 / 30

25. If a≡b(mod n) and c≡d(mod n), then ac≡?

A) bd+1(mod n)

B) (a+c)(mod n)

C) bd(mod n)

D) Cannot determine

26 / 30

26. What is the smallest n such that n! > 10000?

A) 9

B) 10

C) 8

D) 7

27 / 30

27. What is the value of √(3+√(3+√3...))?

A) (3+√21)/2

B) (1+√13)/2

C) (1+√5)/2

D) (1+√13)/2

28 / 30

28. The value of i^1+i^2+i^3+i^4+...+i^20 is:

A) 1

B) i... groups of 4 sum to 0. 20/4=5 complete groups. Sum=0.

C) −1

D) 0

29 / 30

29. The number of lattice points strictly inside the square [0,n]×[0,n] is:

A) n²-4n+4

B) (n-1)²

C) n²-4n

D) n²

30 / 30

30. What is the value of 1/(1×3)+1/(3×5)+1/(5×7)+...+1/(99×101)?

A) 100/201

B) 49/101

C) 51/101

D) 50/101

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