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  1. Problems
  2. /SAT

SAT problems

113 problems for SAT practice, in Mathematics and Statistics & Data Science, each with a worked solution. Try each one on paper first, then check your answer.

Other examsJEE MainNEETBITSATWBJEEBoard ExamOlympiadAPA-LevelIBGaokaoPCEP (Python Institute)PCAP (Python Institute)

Pick a subject to see its topics.

99 problems
Type:
1.
For an acute angle A, sin A = 0.6. Find cos A, tan A and sec A. New
High School (9–10), General · Trigonometric IdentitiesBoard Exam, SATStemPy LabStemPy Lab
Medium
2.
Find the mean temperature of the first 10 days and of the last 10 days.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode, Spread of Data, Probability and ChanceSATStemPy LabStemPy Lab
Hard
3.
A ramp rises at 30° to the ground and reaches a doorstep 0.9 m high. New
High School (9–10), General · Trigonometric RatiosBoard Exam, SATStemPy LabStemPy Lab
Medium
4.
The 10 rainy days had a total of 285 °C, and the 20 dry days a total of 637 °C.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode, Spread of Data, Probability and ChanceSATStemPy LabStemPy Lab
Hard
5.
If 3 tan θ = 4 for an acute angle θ, find the value of (4 sin θ - cos θ)/(4 sin θ + cos θ). New
High School (9–10), General · Trigonometric RatiosBoard Exam, SATStemPy LabStemPy Lab
Hard
6.
The chance of a rainy day is 1/3. If the days did not affect each other, what would be the chance…
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode, Spread of Data, Probability and ChanceSATStemPy LabStemPy Lab
Hard
7.
A wheelchair ramp is 4 m long and rises 0.6 m from the ground to a door. New
High School (9–10), General · Trigonometric RatiosBoard Exam, SATStemPy LabStemPy Lab
Medium
8.
Call a day "very hot" if its highest temperature is 34 °C or more.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode, Spread of Data, Probability and ChanceSATStemPy LabStemPy Lab
Medium
9.
In triangle ABC the right angle is at B, AB = 24 cm and BC = 10 cm. New
High School (9–10), General · Trigonometric RatiosBoard Exam, SATStemPy LabStemPy Lab
Medium
10.
A bag holds 4 red, 3 blue and 5 green marbles.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceSATStemPy LabStemPy Lab
Hard
11.
How many three-digit numbers are multiples of 9? New
High School (9–10), General · Sequences and SeriesBoard Exam, SATStemPy LabStemPy Lab
Hard
12.
A fair die is rolled 4 times. Find the probability of at least one six.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceSATStemPy LabStemPy Lab
Hard
13.
The 6th term of an AP is 37 and the 15th term is 91. Find d, a and the 25th term. New
High School (9–10), General · Sequences and SeriesBoard Exam, SATStemPy LabStemPy Lab
Medium
14.
Three fair coins are tossed. List all the outcomes, and find the probability of (a) three heads…
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceSATStemPy LabStemPy Lab
Medium
15.
The AP 4, 9, 14, …, 249 is finite. How many terms does it have, and what is its 8th term from the… New
High School (9–10), General · Sequences and SeriesBoard Exam, SATStemPy LabStemPy Lab
Medium
16.
Two fair dice are rolled. Find the probability that the sum is (a) 8, (b) 3, (c) 9 or more.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceSATStemPy LabStemPy Lab
Medium
17.
In the AP 5, 12, 19, …: which term is 166? is 300 a term? New
High School (9–10), General · Sequences and SeriesBoard Exam, SATStemPy LabStemPy Lab
Medium
18.
A coin is tossed 400 times and shows 216 heads.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceSATStemPy LabStemPy Lab
Hard
19.
The terms 13, square, square, 34 form an AP. Find the two missing terms. New
High School (9–10), General · Sequences and SeriesBoard Exam, SATStemPy LabStemPy Lab
Medium
20.
A bottle cap is flipped 240 times. It lands top up 168 times.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Probability and ChanceSATStemPy LabStemPy Lab
Medium
21.
A rectangular hall must have a perimeter of 52 m. New
High School (9–10), General · Quadratic EquationsBoard Exam, SATStemPy LabStemPy Lab
Medium
22.
A box plot of some test marks has the five numbers: smallest 18, Q1 27, median 34, Q3 40 and…
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of DataSATStemPy LabStemPy Lab
Medium
23.
Find the values of k for which (k + 1)x² - 2(k - 1)x + 1 = 0 has two equal roots. New
High School (9–10), General · Quadratic EquationsBoard Exam, SAT, A-Level, IBStemPy LabStemPy Lab
Medium
24.
The values 2, 6, 10, 14 have a mean of 8.
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Spread of DataA-Level, IB, SATStemPy LabStemPy Lab
Hard
25.
A stone is thrown upwards. After t seconds its height is h = 30t - 5t² metres. New
High School (9–10), General · Quadratic EquationsBoard Exam, SATStemPy LabStemPy Lab
Hard
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