# Second Term Examination 2020 Academic Year Primary Six Basic 6 Mathematics

**SUBJECT: MATHEMATICS CLASS: PRIMARY 6**

- Find the tax paid by a man whose taxable income is N3000 if the tax deducted on every naira of taxable income is 15k.

(a) N1500

(b) N450

(c) N2000

(d) N15000 - How many 40k shares can I buy with N1000?

(a) 4000

(b) 25

(c) 400

(d) 30 - A man holds 600 shares, bought for 50k. The company declares a dividend of 4 ½ k per share. How much does he get as dividend?

(a) N36.00

(b) N40.00

(c) N177.80K

(d) N100 - Determine the index form of 49 x 225.

(a) 72 x 32

(b) 72 x 3 x 52

(c) 7 x 25

(d) 72 x 32 x 52 - Evaluate the expression:

(a)

(b)

(c) 2

(d) 1 - What is the cube root of 64?

(a) 4

(b) 3

(c) 2

(d) 64 - Write 3.30 pm in 24-hour clock system.

(a) 03.30 hrs

(b) 20.45 hrs

(c) 15.30 hrs

(d) 20.00 hrs - Calculate the duration of a journey from Ede to Offa if a train departs Ede at 20.45 hours and arrives at Offa at 04.20 hrs.

(a) 4 hrs 20 min

(b) 3 hrs 45 min

(c) 7 hrs 35 min

(d) 2 hrs 45 min - If a bus travels 8 km in 1/6 hrs, what is its speed?

(a) 2 ½ km/hr

(b) 72 km/hr

(c) 6 km/hr

(d) 48 km/hr - Habib went to bed at 11.45 pm and woke up at 5.40 am. For how long did he sleep?

(a) 18 hrs 55 mins

(b) 5 hrs 55 mins

(c) 6 hrs 5 mins

(d) 10 hrs 40 mins - What is the distance traveled by a motorist at a speed of 48 km/hr for 1 hr 40 min?

(a) 100 km

(b) 80 km

(c) 50 km

(d) 30 km - How long does it take a bus traveling 8 km at 48 km/hr?

(a) 1/6 hr

(b) 16 hr

(c) 61 hr

(d) 6 hours - Express 25 cm in cm and mm.

(a) 2 cm 5 mm

(b) 5 cm 2 mm

(c) 10 cm 55 mm

(d) 20 cm 5 mm - Calculate the area of a triangle given that its height is 8 cm and base is 4 cm.
- According to Pythagoras’ theorem, in a right-angled triangle,

(a) a^2 + b^2 = c^2

(b) a^2 b^2 = c^2

(c) a^2 x b^2 = c^2

(d) a^2 – b^2 = c^2 - Convert 4.26 liters to milliliters.

(a) 4.26 m

(b) 42 ml

(c) 426 ml

(d) 4260 ml - Calculate the total weight of a load consisting of 2.5 kg of rice, 625 g of sugar, 65 g of salt, and ¼ kg of onions.

(a) 3.5 kg

(b) 4.1 kg

(c) 6.2 kg

(d) 3 ¼ kg - Simplify:

(a) 196t 528 kg

(b) 60t 7 kg

(c) 189t 679 kg

(d) 100t 200 kt kg225 8 59 329 - The number of degrees between North and East is

(a) 270°

(b) 180°

(c) 90°

(d) 45° - Starting at North, turning clockwise, an angle of 90° ends in what direction?

(a) East

(b) West

(c) South

(d) North - If the minute hand on a clock starts at 12 and moves to 2, how many degrees does it move through?

(a) 180°

(b) 60°

(c) 90°

(d) 270° - What is the weight of a pool of water that is 12 cm long, 9 cm wide, and 50 cm deep when full?

(a) 5.4 kg

(b) 4.5 kg

(c) 450 cm3

(d) 1000 liters - Compare 0.350 kg 5 g.

(a) <

(b) =

(c) >

(d) None of the options - Find the length of $y$.

(a) 16

(b) 46

(c) 525

(d) 17 - Find the value of the expression $34×27×35×28$ leaving your answer in index form.

**SECTION B (fill in the blanks)**

- When a share is sold above the nominal value, it is said to be sold at a ____________________.
- The square of 8 added to the square root of 100 is ______________________.
- The _____________________ of a number is the number of times the number is multiplied by itself.
- $P_{m}×P_{n}=P_{m−n}$. True or false ___________________.
- = _______________________.
- Convert 1 week to hours __________________.
- My watch is 25 minutes late. What time is it when my watch shows 07:40 hrs? ___________________.
- If the shorter sides of a right-angled triangle are 5 cm and 12 cm long, find the length of the hypotenuse.
- A train leaves Kuta at 14:30 hours and arrives at Dirije 420 km at 01:40 hrs. Calculate its average speed.
- The formula for finding distance is _____________.
- Convert 6 liters to cubic centimeters (cm³).
- Add $4m7m$ to $8m997mm$. _____________________.
- Subtract $75L502cm_{3}$ from $433L76cm_{3}$. ___________.
- Express 74000 mg in grams ___________________.
- ___________________ income is the part of income on which tax is paid.

**SECTION C**

1a. What is the nominal value of a share? _______________________________________________.

1b. What does it mean when a share is sold at par?

2a. Find the value of $132−72$. _____________________.

2b. Write the value of $9×_{3}$ in index form.

3a. A lorry weighs 1.5 tons when empty. If it carries 60 bags of rice each weighing 125 kg, what is the total weight of the lorry and its load?

3b. If the scale used in a drawing is $1cm=10m$, what is the actual length of this scale drawing?

(a) 5 cm

(c) 0.6 cm

4a. What percentage of 200 is 50?

4b. Increase 800 by 25%.

5a. There are 500 people in a village. Out of these people, there are 100 men, 120 women, 80 girls, and 200 boys.

i. What percentage of the whole population is boys?

ii. What percentage of the population is women?

iii. What percentage of the population is men?

iv. What percentage of the population is girls?

5b. i. Convert 1001 base two to base ten.

ii. Change 245 base ten to base two.

6a. Write out all factors of:

a) 12

b) 24

c) 36

d) 144

6b. Express the prime factors of these numbers in index form:

i. 36

ii. 144

iii. 200

iv. 219

7a. Convert the following decimals to fractions:

i. 0.75

ii. 0.0025

iii. 0.01

iv. 3.375

7b. Express the following figures in words:

i. 193024

ii. 38494959

iii. 1001001

iv. 2344325

8a. Calculate the LCM of these figures:

18 and 24

33 and 44

12 and 144

8, 24, and 3

8b. Calculate the HCF of the following figures:

12 and 24

16 and 60

36, 72, and 144

10, 24, and 50