List of top Mathematics Questions asked in CBSE Class VII

Find:
(i) 2.5 × 0.3
(ii) 0.1 × 51.7
(iii) 0.2 × 316.8
(iv) 1.3 × 3.1
(v) 0.5 × 0.05
(vi) 11.2 × 0.15
(vii) 1.07 × 0.02
(viii) 10.05 × 1.05
(ix) 101.01 × 0.01
(x) 100.01 × 1.1
Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed 2 / 5 of the water. Pratap consumed the remaining water.
(i) How much water did Vidya drink?
(ii) What fraction of the total quantity of water did Pratap drink?
Find:
(i) 7 ÷ 3.5
(ii) 36 ÷ 0.2
(iii) 3.25 ÷ 0.5
(iv) 30.94 ÷ 0.7
(v) 0.5 ÷ 0.25
(vi) 7.75 ÷ 0.25
(vii) 76.5 ÷ 0.15
(viii) 37.8 ÷ 1.4
(ix) 2.73 ÷ 1.3

Write equations for the following statements:
(i) The sum of numbers x and 4 is 9.
(ii) 2 subtracted from y is 8.
(iii) Ten times a is 70.
(iv) The number b divided by 5 gives 6.
(v) Three-fourth of t is 15.
(vi) Seven times m plus 7 gets you 77.
(vii) One-fourth of a number x minus 4 gives 4.
(viii) If you take away 6 from 6 times y, you get 60.
(ix) If you add 3 to one-third of z, you get 30

Convert given per cents to decimal fractions and also to fractions in simplest forms: 
  1.  25% 
  2.  150% 
  3.  20% 
  4.  5%
Find:
(i) 12 ÷\(\frac{3}{4}\)
(ii) 14 ÷ \(\frac{5}{6}\)
(iii) 8 ÷ \(\frac{7}{3}\)
(iv) 4 ÷ \(\frac{8}{3}\)
(v) 3 ÷ 2 \(\frac{1}{3}\)
(vi) 5 ÷ 3 \(\frac{4}{7}\)
ABCD is quadrilateral. Is AB + BC + CD + DA < 2 (AC + BD)?
ABCD is quadrilateral
Write the following rational numbers in ascending order:
(i) -\(\frac{3}{5}\),-\(\frac{2}{5}\),-\(\frac{1}{5}\)
(ii) -\(\frac{1}{3}\),-\(\frac{2}{9}\),-\(\frac{4}{3}\)
(iii) -\(\frac{3}{7}\),-\(\frac{3}{2}\),-\(\frac{3}{4}\)

Solve the following equations by trial and error method: (i) 5p + 2 = 17 (ii) 3m – 14 = 4

In a class test (+3) marks are given for every correct answer and (–2) marks are given for every incorrect answer and no marks for not attempting any question. (i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly? (ii) Mohini scores –5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?
Read the bar graph which shows the number of books sold by a bookstore during five consecutive years and answer the following questions:
(i) About how many books were sold in 1989? 1990? 1992?
(ii) In which year were about 475 books sold? About 225 books sold?
(iii) In which years were fewer than 250 books sold?
(iv) Can you explain how you would estimate the number of books sold in 1989?
Identify the numerical coefficients of terms (other than constants) in the following expressions: 
(i) 5 – 3t2 
(ii) 1 + t + t2 + t3 
(iii) x + 2xy + 3y 
(iv) 100m + 1000n 
(v) – p2q2 + 7pq 
(vi) 1.2 a + 0.8 b 
(vii) 3.14 r2 
(viii) 2 (l + b) 
(ix) 0.1 y + 0.01 y2
Write the following equations in statement forms:
(i)p+4=15
(ii)m-7=3
(iii)2m=7
(iv)\(\frac{m}{5}\)=3
(v)\(\frac{3m}{5}\)=6
(vi)3p+4=25
(vii)4p-2=18
(viii)\(\frac{p}{2}\)+2=8
If p=–2,find the value of: (i)4p+7 (ii) –3p2+4p+7 (iii)–2p3–3p2+4p+7
Multiply the following fractions:
(i) \(\frac{2}{5}\) × 5 \(\frac{1}{4}\)
(ii) 6 \(\frac{2}{5}\) × \(\frac{7}{9}\)
(iii)\(\frac{3}{2}\) × 5 \(\frac{1}{3}\)
(iv) \(\frac{5}{6}\) × 2 \(\frac{3}{7}\)
(v) 3 \(\frac{2}{5}\)× \(\frac{4}{7}\)
(vi) 2 \(\frac{3}{5}\) × 3
(vii) 3 \(\frac{4}{7}\) × \(\frac{3}{5}\)
Multiply and reduce to lowest form (if possible) :
(i) \(\frac{2}{3}\) × 2 \(\frac{2}{3}\)
(ii) \(\frac{2}{7}\) × \(\frac{7}{9}\)
(iii) \(\frac{3}{8}\) × \(\frac{6}{4}\)
(iv) \(\frac{9}{4}\) × \(\frac{3}{5}\)
(v) \(\frac{1}{3}\)× \(\frac{15}{8}\)
(vi) \(\frac{11}{2}\) × \(\frac{3}{10}\)
(vii) \(\frac{4}{5}\) × \(\frac{12}{7}\)
Find each of the following products:
(a) 3 × (–1)
(b) (–1) × 225
(c) (–21) × (–30)
(d) (–316) × (–1)
(e) (–15) × 0 × (–18)
(f) (–12) × (–11) × (10)
(g) 9 × (–3) × (– 6)
(h) (–18) × (–5) × (– 4)
(i) (–1) × (–2) × (–3) × 4
(j) (–3) × (–6) × (–2) × (–1)
Starting from (–1) × 5, write various products showing some pattern to show (–1) × (–1) = 1.
Find:
(i) 1.3 × 10
(ii) 36.8 × 10
(iii) 153.7 × 10
(iv) 168.07 × 10
(v) 31.1 × 100
(vi) 156.1 × 100
(vii) 3.62 × 100
(viii) 43.07 × 100
(ix) 0.5 × 10
(x) 0.08 × 10
(xi) 0.9 × 100
(xii) 0.03 × 1000
In the given figures below, decide whether \(l\) is parallel to \(m\).
list o figures to decide whether l is parallel to m
Fill in the blanks:
(a) 369 ÷ _____ = 369
(b) (–75) ÷ _____ = –1
(c) (–206) ÷ _____ = 1
(d) – 87 ÷ _____ = 87
(e) _____ ÷ 1 = – 87
(f) _____ ÷ 48 = –1
(g) 20 ÷ _____ = –2
(h) _____ ÷ (4) = –3
∆ ABC is right angled at A (Fig 9.16). AD is perpendicular to BC. If AB = \(5\) cm, BC = \(13\) cm and AC = \(12\) cm, Find the area of ∆ ABC. Also find the length of AD.
Triangle ABC
In a quiz, team A scored – 40, 10, 0 and team B scored 10, 0, – 40 in three successive rounds. Which team scored more? Can we say that we can add integers in any order?
Fill in the blanks to make the following statements true:
(i) (–5) + (– 8) = (– 8) + (............)
(ii) –53 + ............ = –53
(iii) 17 + ............ = 0
(iv) [13 + (– 12)] + (............) = 13 + [(–12) + (–7)]
(v) (– 4) + [15 + (–3)] = [– 4 + 15] + ............
The temperature at 12 noon was 10°C above zero. If it decreases at the rate of 2°C per hour until midnight, at what time would the temperature be 8°C below zero? What would be the temperature at mid-night?