Pre-Algebra Practice Test: Foundations
40 questions from 40 lessons · 80 minutes · percent score and grade · step-by-step answers
How it works
- 40 questions, about 80 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 6 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. No calculator: work it out on paper.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise these lessons next: the lessons of the questions you got wrong, with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
Formulas: the Foundations formula sheet.
1 Question 1
Calculate 5 + (−8)Type the answer.
2 Question 2
A submarine is at −40 m. It sinks 25 m. Where is it now?Type the answer.
3 Question 3
Calculate −6.3 ÷ 0.9Type the answer.
4 Question 4
Calculate 7 × 2 − 5Type the answer.
5 Question 5
Write 12 + 18 as a productType the answer.
6 Question 6
Calculate gcf(18, 24)Type the answer.
7 Question 7
Is 1,460 divisible by 10Type the answer.
8 Question 8
Ξ = {1, 2, ..., 15}, A = {3, 6, 9, 12, 15}, B = {5, 10, 15}, find n(A ∪ B)Type the answer.
9 Question 9
n(ξ) = 30, n(A) = 16, n(B) = 12, n(A ∩ B) = 5, find n((A ∪ B)′)Type the answer.
10 Question 10
A = {2, 3, 5}, B = {1, 4}, find n(A × B)Type the answer.
11 Question 11
Calculate 13 − 56Type the answer.
12 Question 12
Round 0.4567 to the nearest hundredthType the answer.
13 Question 13
Write 0.7 as a fractionType the answer.
14 Question 14
Write 0.363636... as a fractionType the answer.
15 Question 15
Estimate 41.3 × 9.79 ÷ 0.765Type the answer.
16 Question 16
X = 7 and y = 4, both to the nearest whole number. Find the upper bound of x + yType the answer.
17 Question 17
What percent of 80 is 28Type the answer.
18 Question 18
Write 150% as a decimalType the answer.
19 Question 19
50% of what number is 14- A) 28
- B) 2800
- C) 50
- D) 7
20 Question 20
Write 712 as a percentType the answer.
21 Question 21
A jacket costs $80. It is 25% off, then 8% sales tax is added. What is the final price?Type the answer.
22 Question 22
Estimate 90, actual 100, percent error- A) 0.1%
- B) 11110%
- C) 10%
- D) 100%
23 Question 23
A $250 bike goes up 20%, then down 10%. What is the new price?Type the answer.
24 Question 24
Calculate 150 km in 4 hoursType the answer.
25 Question 25
Share 30 in the ratio 1 : 4- A) 6 and 24
- B) 6
- C) 24
26 Question 26
Convert 66 inches to feetType the answer.
27 Question 27
Constant of proportionality through (3, 10)Type the answer.
28 Question 28
Calculate 23 of a wall painted in 13 hourType the answer.
29 Question 29
Mass 27 g, volume 10 cm³, find the densityType the answer.
30 Question 30
$1 = €0.92. Change $65 to euros.Type the answer.
31 Question 31
Calculate √81Type the answer.
32 Question 32
Estimate √50 to the nearest tenthType the answer.
33 Question 33
Is √81 rational or irrational- A) Rational
- B) Irrational
34 Question 34
Solve x3 = 125Type the answer.
35 Question 35
Find the median of 12, 5, 9, 15, 10, 7.Type the answer.
36 Question 36
Find the mean of the frequency table x: 1, 2, 3, 4, 5; f: 2, 5, 9, 6, 3.Type the answer.
37 Question 37
Is "How many days are in a week?" a statistical question- A) Yes
- B) No
38 Question 38
MAD of 12, 15, 15, 18, 20Type the answer.
39 Question 39
A circle graph has a 54° slice for green, what percent greenType the answer.
40 Question 40
Is it a good sample: to find the favorite sport at a school, ask 20 players on the soccer team- A) Yes
- B) No