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Problems

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218 problems
Type:
1.
Which of these lists are arithmetic progressions? New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Easy
2.
Ravi makes a row of figures with matchsticks. New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Easy
3.
The terms 13, square, square, 34 form an AP. Find the two missing terms. New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Medium
4.
Find the 40th term of the AP 9, 14, 19, … New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Easy
5.
In the AP 5, 12, 19, …: which term is 166? is 300 a term? New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Medium
6.
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 SeriesStemPy LabStemPy Lab
Medium
7.
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 SeriesStemPy LabStemPy Lab
Medium
8.
Three numbers in an AP have a sum of 33 and a product of 1155. Find the numbers. New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Hard
9.
A school hall has 22 seats in the first row, and each row has 3 seats more than the row in front of… New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Easy
10.
How many three-digit numbers are multiples of 9? New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Hard
11.
Find the sum of the first 25 odd numbers, 1 + 3 + 5 + …. What do you notice about the answer? New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Easy
12.
Find the sum of all the multiples of 7 that lie between 100 and 300. New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Medium
13.
Find the sum of the first 18 terms of 40, 37, 34, … Are all 18 terms positive? New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Medium
14.
How many terms of 5, 9, 13, … must be taken so that their sum is 275? New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Medium
15.
The first term of an arithmetic progression is 8, and the sum of its first 16 terms is 608. New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Medium
16.
The sum of the first n terms of an arithmetic progression is 4n² - n. New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Hard
17.
How many terms of 21, 18, 15, … must be added to get 81? Explain why there are two answers. New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Hard
18.
Kabir saves ₹30 in the first month and ₹15 more each month than the month before. New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Easy
19.
Logs are stacked with 24 in the bottom row, 23 in the next, and so on, with 9 logs in the top row. New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Medium
20.
A club gives 7 prizes worth ₹2800 in all. New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Medium
21.
The rungs of a ladder are 20 cm apart. Their lengths fall evenly from 50 cm at the bottom to 30 cm… New
High School (9–10), General · Sequences and SeriesStemPy LabStemPy Lab
Hard
22.
Which of these are quadratic equations? Give a reason for each. New
High School (9–10), General · Quadratic EquationsStemPy LabStemPy Lab
Easy
23.
Each side of a square plot is x metres. When each side is made 3 m longer, the area becomes 81 m². New
High School (9–10), General · Quadratic EquationsStemPy LabStemPy Lab
Easy
24.
Is x = 2/3 a root of 3x² + 7x - 6 = 0? For what value of k is x = 2 a root of kx² - 3x - 10 = 0? New
High School (9–10), General · Quadratic EquationsStemPy LabStemPy Lab
Medium
25.
Solve x² - 9x + 20 = 0 by factorisation. New
High School (9–10), General · Quadratic EquationsStemPy LabStemPy Lab
Easy
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