Mathematics Competency Practice Questions - 2 PDF

Summary

These are the competency practice questions, covering topics such as linear equations, percentage, perimeter and area, symmetry, visualising solid shapes, and data handling for grade 7 students.

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COMPETENCY PRACTICE QUESTIONS - 2 Subject: Mathematics Answer Scheme Grade: VII Portion: Ch 6: Linear Equations, Ch 8: Percentage and Its Applications, Ch 13: Perimeter and Area, Ch 14: Symmetry, Ch 15: Vis...

COMPETENCY PRACTICE QUESTIONS - 2 Subject: Mathematics Answer Scheme Grade: VII Portion: Ch 6: Linear Equations, Ch 8: Percentage and Its Applications, Ch 13: Perimeter and Area, Ch 14: Symmetry, Ch 15: Visualising Solid Shapes, Ch 16: Data Handling Section A Q.I Select the correct option. (1 mark each) 1. Bilal’s teacher asked him to identify a letter which has only rotational symmetry. Which of the following letter he can choose? (a) E (b) B (c) R (d) S ans (Symmetry) 2. Hetal has solved the following equation as given below. 3(x + 4) = −5(x − 2) Step 1: 3x + 12 = −5x + 10 Step 2: 3x + 5x = 10 − 12 Step 3: 8x = −8 −8 Step 4: x = 8 Step 5: x = −1 She had made a mistake in one of the steps. Identify the incorrect step. (a) Step 1 (b) Step 2 (c) Step 3 ans (d) Step 4 (Linear equations) 3. The mean of 8 numbers is 10. If one number is excluded, mean of the remaining numbers becomes 9, then the excluded number is (a) 18 (b) 17 Ans (c) 15 (d) 12 (Data Handling) 4. Rita has drawn a parallelogram in her notebook. After measuring the length of base and height she realized that the height of a parallelogram is 5 cm more than its base. If the length of the base is 7 cm, what is the area of the parallelogram? 2 (a) 12 cm2 (b) 35 cm (c) 70 cm2 (d) 84 cm2 Ans (Perimeter and Area) 5. Rishit borrowed some money from a bank for his new shop. In how many years will the sum of money double itself at 10% interest per annum? (a) 20 years (b) 10 years Ans (c) 5 years (d) 2 years (Percentage and Its Applications) CB/VII/23-24 Competency Practice Questions - 2 page 1 of 4 COMPETENCY PRACTICE QUESTIONS - 2 6. Karan made a model using cubes. The diagram below shows the top, front and side views of a model. How many cubes are there in the model altogether? Top view Front view Side view (a) 7 (b) 8 (c) 9 Ans (d) 10 (Visualising solid shapes) s 1 s 2 7. Dinesh has been given a task to find the solution of the equation + = − 4 4 5 5 The solution of the above equation is an integer which is (a) greater than 15 (b) between −8 and −12 (c) greater than −15 Ans (d) equal to −12 (Linear equations) 8. Consider the following statements. Statement I: If Harita lost 5% on a laptop which was sold for ` 24,700, then the cost price of the laptop was ` 28,500. Statement II: 3% of 1 hour = 108 seconds Which of the following statements is/are true? (a) Only statement I (b) Only statement II Ans (c) Both the statements (d) Neither of the statements (Percentage and Its Applications) 9. Consider the rectangle shown alongside, divided into two congruent triangles. The length of the rectangle is twice its breadth. If the length is 16 cm, what is the area of each triangle? (a) 128 cm2 (b) 72 cm2 (c) 64 cm2 Ans (d) 24 cm2 (Perimeter and Area) 10. Consider the data set below consisting of 10 data values. 12, 10, 6, 19, 15, 14, 9, 16, 6, 21 Which data value when added to the data set does not change the median of the data set? (a) 11 (b) 12 (c) 14 (d) 13 Ans (Data Handling) CB/VII/23-24 Competency Practice Questions - 2 page 2 of 4 COMPETENCY PRACTICE QUESTIONS - 2 11. Arnav has drawn the adjoining solid shape on an isometric dot paper. How many faces are there in the given solid? (a) 8 (b) 9 (c) 10 Ans (d) 12 (Visualising solid shapes) 12. Consider the figure shown below. If all squares in the given figure are shaded, which of these will be the mirror image of the given figure? (a) (b) Ans (c) (d) (Symmetry) 13. Over the period of 7 days, the highest rainfall in a city was on Sunday and the least was on Friday. If the range of the rainfall over this period is 15.2 mm and the rainfall on Sunday was 24.6 mm, what was the rainfall on Friday? (a) 5.4 mm (b) 7.8 mm (c) 9.4 mm ans (d) 39.8 mm (Data Handling) 14. For an arts project, Aditi wants to decorate the given semi-circular disc around its boundary using a coloured ribbon. If the diameter of the disc is 35 cm, how much ribbon will be required to decorate the disc? 35 cm (a) 110 cm (b) 220 cm (c) 90 cm Ans (d) 481.25cm (Perimeter and Area) 15. Kusum purchased a pendant set for ` 1500 and sold it for a profit of 15%. What is the selling price of the pendant set? (a) ` 1225 (b) ` 1725 Ans (c) ` 1520 (d) ` 1520 (Percentage and Its Applications) CB/VII/23-24 Competency Practice Questions - 2 page 3 of 4 COMPETENCY PRACTICE QUESTIONS - 2 16. Usha and Tanvi participated in a quiz competition. Usha scored the highest while Tanvi scored the lowest. The highest score is 7 more than 9 times the lowest score. If the highest score is 52, which of the following equation, can be used to find the value of lowest score. (a) 7x + 9 = 52 (b) 9x − 7 = 52 (c) 7x − 7 = 52 (d) 9x + 7 = 52 Ans (Linear equations) 17. Arin got a party cap on his friend’s birthday. If he gives a horizontal cut to this cap, what will be the shape of the cross-section? (a) Triangle (b) Square (c) Circle Ans (d) Rectangle (Visualising solid shapes) 18. At what minimum angle, the given figure shows rotational symmetry? (a) 60° (b) 90° (c) 180° Ans (d) 360° (Symmetry) >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> CB/VII/23-24 Competency Practice Questions - 2 page 4 of 4

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