Mathematics Form 1 Questions and Answers

Featured:

Mathematics Form 1 Questions and Answers - End Term 2 Exams 2021

Be the first to comment!

English Form 1 Questions and Answers - End Term 2 Exams 2021 - Next »

Download PDF for future reference Install our android app for easier access

Click the button below to download the full Form 1 Term 2 2021 Exams PDF Download pdf document, with all the topics.

Download Form 1 Term 2 2021 Exams PDF Download PDF to Print or Offline Reading

Mathematics Form 1 End Term 2 Exams 2021 with Marking Schemes

Write in words 437 308 041. (2mks)
Test whether the number 24831 is divisible by 3. (3mks)
Three tanks are capable of holding 361, 841 and 901 of milk. Determine the capacity of the greatest vessel which can be used to fill each one of them on exact number of times. (3mks)
Write the following in standard form. (2mks)
1. 0.001576
2. 325.87
Use tables to find the:
1. Square of 36.21 (2mks)
2. Square root of 0.0293 (2mks)
Find the perimeter of the figure below. (3mks)
If x = -2, y =-6 and z=4, find the value of: (2mks)
3YZ
X
Express the following numbers as a product of prime factors.
1. 472 (2mks)
2. 1078 (2mks)
Arrange the following fractions in ascending order. (2mks)
¹¹/₁₂, ⁵/₆, ²/₃, ⁵/₆
The sum of three consecutive whole numbers is 84. Find the numbers. (3mks)
Express the following as a fraction.
0.67Ë (3mks)
2.8Ë3Ë (3mks)
Maureen spent sh. 207 to buy 7 exercise books and 4 pens while Sharon spent sh. 165 to buy 5 exercise books and 5 pens of same type. Find the cost of each item. (3mks)
The sum of interior angles of a regular polygon is 720O. Find the number of sides of the polygon and give its name. (3mks)
A lady bought US £ 5000. From this, she spent US£ 1000 on a return ticket and US£ 1750 while in USA. Upon her return, she sold the remaining dollars. Using the following exchange rate:
Currency buying selling
1US Dollar (£) 78.4133 78.4744
1. How much did she pay to the bank in Kenya shillings to yet the US £ 5000? (2mks)
2. How much in Kenya shilling did she get after selling the remaining amount to the bank? (2mks)
Solve the following pair of simultaneous equations graphically. (6mks)
2x – y = 3
X + 2y = 14

SECTION II (20MKS)
Answer all questions.

The travel timetable below shows the departure and arrival times for a bus plying between two towns M and R, 300km apart.
Town Arrival Departure
M 0830h
N 1000h 1020h
P 1310h 1340h
Q 1510h 1520h
R 1600h
1. How long does the bus take to travel from town M to N? (2mks)
2. What time does it take at town P? (2mks)
3. At what time does it arrive at town R in 12hr clock system? (2mks)
4. What is its average speed for the whole journey? (4mks)
Daniela spent ¼ of her net January salary on school fees. She spent ¼ of the remainder on electricity and water bills. She then spent 1/9 of what was left on transport. If she finally had sh. 3400.
1. What fraction of her January salary was spent on electricity and water bill? (2mks)
2. What fraction remained after she spent on fees, electricity and water bills? (2mks)
3. What fraction was spent on transport? (2mks)
4. Calculate her net January salary. (4mks)

Marking Scheme

Write in words 437 308 041. (2mks)
Four hundred and thirty seven million three hundred and eight thousand and fourty one.
Test whether the number 24831 is divisible by 3. (3mks)
24831
2+4+8+3+1= ¹⁸/₃ = 6 it is divisible by 3
Three tanks are capable of holding 361, 841 and 901 of milk. Determine the capacity of the greatest vessel which can be used to fill each one of them on exact number of times. (3mks)
2 36 84 90
3 18 42 45
6 14 15
Write the following in standard form. (2mks)
1. 001576
  1.576 x 10^-3
2. 325.87
  3.2587 x 10²
Use tables to find the:
1. Square of 36.21 (2mks)
  36.21² = (3.621 x 10¹)²
  3.621² x 10²
  13.111 x 10² = 1311.1
2. Square root of 0.0293 (2mks)
  0.0293^½ = (2.93 x 10^-2) ^½
  2.93^½ x 10^-1
  1.7117 x 10^-1
  0.17117
Find the perimeter of the figure below. (3mks)
³⁰⁰/₃₆₀ x 2 x ²²/₇ x 12 = 62.8571
Perimeter = 62.8571 + 12 + 12 = 86.8571 cm
If x = -2, y =-6 and z=4, find the value of: (2mks)
3YZ
X
3YZ = 3X – 6 X 4 = -72 = 36
X -2 -2
Express the following numbers as a product of prime factors.
1. 472 (2mks)
  2[472
  2[236
  2[118
  [59
  472 = 2³ x 59
2. 1078 (2mks)
  2[1078
  7[539
  7[77
  1[11
  1078= 2 X 7² x 11
Arrange the following fractions in ascending order. (2mks)
¹¹/₁₂, ⁵/₆, ²/₃, ⁵/₆
¹¹/₁₂ x 2, ⁵/₆ x12, ²/₃ x 12, ⁵/₆ x 12
11, 10, 8,10
Ascending order: ²/₃,⁵/₆,⁵/₆,¹¹/₁₂
The sum of three consecutive whole numbers is 84. Find the numbers. (3mks)
x + x + 1 + x + 2 = 84
3x + 3 = 84
^3x/₃ = ⁸¹/₃
X= 27, the numbers are : 27, 28 and 29
Express the following as a fraction.
1. 0.67Ë (3mks)
  Let r = 0.6777
  10r = 6.777
  100r = 67.777
  100r – 10r = 67.777 – 6.777
  90r = ⁶¹/₉₀
  90r
  r = ⁶¹/₉₀
2. 2.8Ë3Ë (3mks)
  Let r = 2.838383
  10r = 28.383838
  100r = 283.838383
  100r – r = 283.838383 – 2.838383
  ⁹⁹/₉₉r = ²⁸¹/₉₉
  R= ²⁸¹/₉₉ or 2 ⁸³/₉₉
Maureen spent sh. 207 to buy 7 exercise books and 4 pens while Sharon spent sh. 165 to buy 5 exercise books and 5 pens of same type. Find the cost of each item. (3mks)
7e + 4p = 207 …. X 5
5e + 5p = 165 …. X 4
35e + 20p = 1035
20e + 20p = 660
¹⁵/₁₅e ³⁷⁵/₁₅
e = 25
7 (25) + 4p = 207
175 + 4p = 207
⁴/₄p = ³²/₄
P = 8
The cost of 1 exercise book = shs. 25 and the cost of a pen sh. 8.
The sum of interior angles of a regular polygon is 720^O. Find the number of sides of the polygon and give its name. (3mks)
(22n – 4) 90 = ⁷²⁰/₉₀
90
2n – 4 = 8
²/₂n = ¹²/₂
n = 6
number of sides = 6. hexagon
A lady bought US £ 5000. From this, she spent US£ 1000 on a return ticket and US£ 1750 while in USA. Upon her return, she sold the remaining dollars. Using the following exchange rate:
Currency buying selling
1US Dollar (£) 78.4133 78.4744
1. How much did she pay to the bank in Kenya shillings to yet the US 5000? (2mks)
  1 US dollar = sh. 78.4744
  5000 dollar = 5000 x 78.4744
  1
  = sh. 392 372
2. How much in Kenya shilling did she get after selling the remaining amount to the bank? (2mks)
  5000 – 1000 – 1750 = 2250 dollars
  1 US dollar = sh. 78.4133
  2250 dollars = 2250 x 78.4133
  1
  = sh. 176 429.90

Solve the following pair of simultaneous equations graphically. (6mks)
2x – y = 3
2x – y = 3
x       0   3
y     -3   3

X + 2y = 14
x + 2y = 14
x     0   4
y     7   5

SECTION II (20MKS)

Answer all questions.

The travel timetable below shows the departure and arrival times for a bus plying between two towns M and R, 300km apart.
1. How long does the bus take to travel from town M to N? (2mks)
  1000
  0830
  130 = 1hr 30mins
2. What time does it take at town P? (2mks)
  1340
  1310
  30 = 30 mins
3. At what time does it arrive at town R in 12hr clock system? (2mks)
  1600
  1200
  400 = 4.00 pm
4. What is its average speed for the whole journey? (4mks)
  1600
  0830
  7 30 = 7 ½ hrs or ¹⁵/₂ hrs
  Average speed = total distance covered
  Total time taken
  = ³⁰⁰/^15/₂
  = 40km/h
Daniela spent ¼ of her net January salary on school fees. She spent ¼ of the remainder on electricity and water bills. She then spent ¹/₉ of what was left on transport. If she finally had sh. 3400.
1. What fraction of her January salary was spent on electricity and water bill? (2mks)
  ¼ x ¾ = ³/₁₆
2. What fraction remained after she spent on fees, electricity and water bills? (2mks)
  ¼ + ³/₁₆ =⁷/₁₆
  Remaining = ¹⁶/₁₆ – ⁷/₁₆ = ⁹/₁₆
3. What fraction was spent on transport? (2mks)
  ¹/₉ x ⁹/₁₆ = ¹/₁₆
4. Calculate her net January salary. (4mks)
  ⁷/₁₆ + ¹ /₁₆ = ½
  ½ --> 3400
  1 --> 1 x 3400
  ½
  = sh. 6800