# WASSCE 2023: Solve These Core Mathematics Questions If You Want To Pass

The questions below are WAEC Core Mathematics questions. Do well to solve these questions in order to pass your WASSCE.

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*Answer all the questions in this section. All questions carry equal marks.*

The third term of an Arithmetic Progression (A.P.) is 23 and the sum of the first seven terms is 210. Find the:

(a) common difference;

(b) first term,

Candidate’s Name:

2.

(a) In a restaurant, the total cost of 2 packed lunch and parked breakfast is $40.00 If the cost of 2 packed lunch is $12.00 less than the ct of a poked breakfast find the cost of a packed breakfast.

(b) Form a quadratic equation whose roots are

and 5

**SECTION B**

*Answer five questions only from this section. All questions carry equal marks.*

6. In a house of 20 people, 8 liked Ampesi, 12 liked Banku and 12 liked Fufu. 5 liked both Ampesi and Fufu, 6 Banku and Fufu, 2 only Ampesi and 3 liked all three types of food.

(a) Illustrate the information on a Venn diagram. (b) Find the number of people in the house who liked:

(i) only fufu:

(ii) exactly two types;

(ii) only one type of food.

7. (a) A man covers a distance of 8 km to a stadium in 1 hour. He walks part of the distance at 6 km/h and runs the rest at 10 km/h. How many kilometres did he run?

(b) A factory purchased a new machine at the cost of N 3,000,000.00. In its operation, it depreciates at the rate of 15% in the first year and 20% yearly thereafter. Calculate the value of the machine at the end of the third year.

10. A boat is on the same horizontal level as the foot of a vertical tower. The angle of depression of the boat from the top of the tower is 39°. If the boat is 30 m away from the foot of the tower,

(a) illustrate the information in a diagram; (b) find, correct to three significant figures, the height of the tower.

(c) If the boat moves further away to a new position, P and the initial angle of depression decreased by 5°, calculate the distance moved by the boat from its initial position.

**READ: Ace Your 2023 WASSCE Core Maths Exam: Expert Tips to Score an ‘A’**

11. A military tent is in the form of a pyramid with square base. The vertex of the tent, V and the base ABCD is of side length 8 m. The angle between a sloping face and the base is 70°. Calculate, correct to two decimal places, the: (a) height of the tent;

(b) area of tarpaulin needed to cover the tent completely; (c) total amount needed to buy the tarpaulin in 11(b) if 3 m² of tarpaulin cost $7.20.

Try your hands on these questions and check out your improvement in Core Mathematics.

Q1 D=7 and the First term is 9. Q6 i)4 ii) 6 iii)11