Question 1 :
A number of two digits is equal to six times the sum of the digits. Find the number.
Question 3 :
A and B are friends and their ages differ by 2 years. A’s father D is twice as old as A. B is twice as old as his sister C. The age of D and C differ by 40 years. Find the age of A (if A > B)
Question 4 :
If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1200. The compound interest on the same sum for the same period at the same rate is
Question 6 :
The arithmetic mean, median and mode of the following number 12, 11, 8, 17, 14, 12, 13, 11, 12, 8
Question 7 :
Find simple interest on an amount of Rs 2500 for 2 year at 25% per annum.
Question 8 :
The marked price of an object is Rs. 200. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed his gain percent would be
Question 14 :
A tangent AB at a point A of a circle of radius 12 cm meets a line thru centre O at a point B so that OB = 20 cm. Find the length of tangent AB?
Question 16 :
Amit and Bhanu together have Rs 1500. If ¼ th of Amit’s amount is equal to ½ th of Bhanu’s, then how much amount Amit has?
Question 17 : <b>The pie chart given below shows the percentage distribution of annual expenditure on various items of a company. The annual expenditure of the company is Rs. 72 crores.</b> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/UPTET%20Paper%20I/5efed25c1055d3224cc82e95"/> If 5% of Miscellaneous is spent on research of nanotubes, then how much is spent (in Rs crores) on research of nanotubes annually?
Question 19 :
Which of the following activities is meant to enhance problem-solving abilities of students of Class III ?
Question 20 :
If the two lines px + 6y + 3 = 0 and 2x + qy + 3 = 0 have infinite solutions then find the value of p and q respectively?
Question 21 : In the given figure, AB ⊥ CD, AP||CD and ∠CBP = 142°. Find ∠ABP and ∠APB, respectively. <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/UPTET%20Paper%20I/5efed2b11055d3224cc82f2e"/>
Question 23 :
If difference of square of two consecutive natural numbers is 1371. Find the sum of digits of smaller number
Question 24 :
What is the sum of first 11 terms of an arithmetic progression if the 4th term is 11 and the 7th term is -4 ?
Question 25 :
Following is a problem from text book of class III which mathematical operation will be used to solve the following problem? “A milkman sold 1410 litres of milk in 10 days. How many litres of milk did he sell in a day? “Which competence of Bloom’s cognitive domain is referred in the above question ?
Question 26 : In the given figure, AB and CD are two parallel chords of a circle with centre O and radius 5 cm. Also, AB = 8 cm and CD = 6 cm. If OP⊥ AB and OQ ⊥ CD, find the length of PQ. <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/UPTET%20Paper%20I/5efed2321055d3224cc82dd5"/>
Question 27 : The line shows the number of vacancies for sales officers in a certain company. Study the diagram and answer the following questions. <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/UPTET%20Paper%20I/5efed1de1055d3224cc82d0a"/> The salary of a Sales officer in the company is Rs 20,000, then what was the expense (in Rs lakhs) due to salaries that had to be paid when posts were filled for the vacancies in the year 2015?
Question 29 : Study the following bar graph carefully and answer the questions. <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/UPTET%20Paper%20I/5efed2331055d3224cc82ddb"/> Ratio of total enrolments in the year 1980 and 2000 at the state university and the central university is
Question 30 :
Oranges are bought at 7 for Rs 3. At what rate per hundred must they sold to gain 33%?
Question 31 :
If a boat taken double time to cover a distance in upstream as compare to time taken by it to cover same distance in downstream, then the ratio of speed of the boat in still water to speed of stream ?
Question 32 :
Four bells ring at intervals 4, 6, 8 and 14 s. They start ringing simultaneously at 12 : 00 o’clock. At what time will they again ring simultaneously?
Question 33 :
A house worth Rs 150000 is sold by X at a 5% profit to Y. Y sell the house back to X at a 2% loss. Then, in the entire transaction
Question 35 :
In an ornament, the ratio of gold and copper is 3 : 2. The percentage of gold in the ornament is
Question 36 :
Manipulative tools are important for learners at primary level as they help them most to :
Question 37 :
‘X’ men agreed to buy a gift for Rs M. If 2 men drop out, how much more will each have to contribute towards the purchase of the gift?
Question 39 : The length of a median of an equilateral triangle is<img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/UPTET%20Paper%20I/5efed1da1055d3224cc82cf8"/> Then the area of the triangle is:
Question 40 : Determine the value of ‘a’ which satisfies the equation:<img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/UPTET%20Paper%20I/5efed1b21055d3224cc82c92"/>
Question 41 :
Mr. Manish used lots of manipulatives, Maths Lab activities and ICT activities to clarify the concept of ‘Symmetry’. Mr. Manish wants to
Question 43 : Study the following bar graph carefully and answer the questions. <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/UPTET%20Paper%20I/5efed2331055d3224cc82ddb"/> The tuition fees at the state university in the year 2000 was Rs 6500 per enrolment. What was the total revenue collected from the tuition fee at state university during that year.
Question 44 : If √3 = 1.732, then what is the value of<img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/UPTET%20Paper%20I/5efed2b31055d3224cc82f38"/> ?
Question 45 :
What is the unit digit of 756235 × 492173 × 123456
Question 46 :
Is important to conduct mathematical re-creational activities and challenging geometrical puzzles in the class as
Question 47 :
D and E are points on side AB and AC of ∆ABC. DE is parallel to BC. If AD : DB = 2 : 5 and area of ∆ABC is 98 cm sq. What is the area (in sq. cm) of quadrilateral BDEC?
Question 48 :
The students of Class V were able to attempt the problem ½ ÷⅓ correctly, but not able to solve the problem. “How many ⅓ cake pieces are there in half a cake?”. The reason is
Question 49 :
What must be subtracted from each term of the ratio 5 : 6, So that the ratio becomes 4 : 5 ?
Question 50 :
A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day?
