URAMBO DISTRICT COUNCIL STANDARD SEVEN TEST

SUBJECT: MATHEMATICS TIME: 1: 30HRS

• THIS PAPER CONSISTS OF TWO SECTIONS WITH 45 QUESTIONS
• SECTION A HAS 40 QUESTIONS AND SECTION B HAS 05 QUESTIONS:
• ANSWER ALL QUESTIONS IN BOTH SECTIONS

SECTION A: MATHEMATICAL OPERATIONS, FIGURES AND WORD PROBLEMS.

1. Six students were assigned to write the numbers, each with one number. The first wrote the number 2, the second wrote the number 3, the third wrote the number 5, the fourth wrote the number 7, and the fifth student wrote the number 11. Which number did the sixth student write?

A 15 B 13 C 17 D 12 E 19   [     ]

2. Write the total value of the underlined digit from the following number 1 000 000

A 1 B 10 C 1 000000 D 0 E 1000   [     ]

3. Use the numbers 19 574, 99 861, 65 439, 74 200 and 45 617 to answer the question asked by the teacher. Which number has 6 in the ten thousands?

A 65 439 B 45 617 C 99 861 D 665 439 E 19 574   [     ]

4. Nzige wrote in numerical numbers derived from the following valuable positions: five ten thousands, two thousand, zero hundreds, three tens and nine ones. What number did he write?

A 52039 B 52309 C 53039 D 5039 E 55039   [     ]

5. If each of the digits 4, 2, 9, 3, 7, 6, 1 and 5 is used once. Write in numerals the largest number formed by the given digit.

A 97,564 321 B 97,654,123 C 65,497,321 D 97,654 321   [     ]

6. Study the following abacus and answer the question that follow:

 How many digits forming the number represented by the abacus?

A 275 256 B 652 572 C 27 D 6 E 26   [     ]

7. Standard Seven students wrote the following numbers on the board: 661256, 663666, 666166, 666646 and 616666. Which of these numbers is the smallest number?

A 666,166 B 661,256 C 616,666 D 663,666 E 666,646   [     ]

8. Collection contributions for the construction of the Health Center in Kitangili ward are nine hundred ninety nine thousand nine hundred and eighty eight. How many shillings did the ward collect in numerals?

A 999,988 B 988,999 C 909,999 D 99,988 E 9,999,988   [     ]

9. The population of a certain school is 1 544 pupils. If the population increases by 100 each year, what will be the population after five years?

A 2,404 B 500 C 2,044 D 15,044 E 2,044   [     ]

10. Three trucks carried maize flour as follows; the first truck loaded 13,527 kilograms, the second 19,445 kilograms and the third 22,202 kilograms. How many kilograms of maize flour did all the trucks carry? 

A 16,455 B 551,164 C 5,164 D 45,164 E 55,164    [     ]

11. Eliza buys 3 liters of milk every day for her family. The price of a liter of milk is 1,800 shillings. How much money does Eliza spend in one month with 30 days to buy milk?

A 162,000 B 16,200 0000 C 540,000 D 54,000 E 90   [     ]

12. 12 Regions of Tanzania received a total of 420,000 story books. How many books did each region receive?

A 5 040,000 B 420,000 C 35,000 D 4,200 E 3,500   [     ]

13. The bottle factory manufactures 789,828 bottles daily. Due to an electrical fault, one day they repaired only 537,014 bottles. How many bottles were not made that day?

A 253,814 B. 252,824 C. 252,814 D. 242,814 E. 252,614    [     ]

14. Two cards were written with the following numbers: The first card has the DCVI number, and the second card has the CDXI number. Write the card number written in small number in Arabic number

A 195 B 1 017 C 611 D 411 E 606   [     ]

15. Two children were listing the numbers. How many counting numbers are there between 8 and 20 listed by those students?

A 6 B 11 C 13 D 4 E 9   [     ]

16. The age of a certain child multiplied by itself is the same as the age of the father. If the age of father is 64 years. Find the age of the child?

A 8 B 16 C 4 D 32 E 64   [     ]

17. Kambi, Malick and Pole were required to write number in different ways. If Kambi wrote 8², Maria wrote 16 x4 and Pole wrote . What number did they all write down?

A 4 096 B 16 C 8×8 D 64 E 4   [     ]

18. Standard Six students started exam at 9:15 am and finished at 10:45 am. How much time did they spend doing the test?

A 3hrs 30min B 1hrs 30 min C 1hrs 45min D 30 min E 2 hrs   [     ]

19. Three line segments of length 14 m, 9 m and 21 m were drawn and joining together. What is the length of the line segment obtained by joining together all three line segments in centimeter?

A 4 400 B 44 C 440 D 0.44 E 4.400   [     ]

20. A Mechanic bought a TV for 420 000 shillings. He later sold it for 580 000 shillings. How much more money did he get than the price he bought?

A 160,000 B 1,000,000 C 1 600,000 D 580,000 E 100,000   [     ]

21. The age of four Grade 3 students at Tumbi Primary School was as follows: Selina 9 years old, Ashura 8 years old, Emmanuel 10 years old and Hassan 9 years old. Find out their average age.

A 9 B 8 C 10 D 7 E 6   [     ]

22. One person sells two different plots as follows: The first plot sells for 3,350,000 shillings and the second plot sells for 4,000,000 shillings. If he sells both plots, how much money will he get?

A 500,000 B 5,500,000 C 7,350,000 D 8,000,000 E 6,700,000   [     ]

23. A trader sold minerals for one month and earned a total of 8,950,000 shillings. If the cost of trading in this month is 1,163 200 shillings, how much did the trader earn?

A 8 950,000 B 7,786,800 C 10,113,200 D 1,163,200 E 7,868,000   [     ]

24. Simplify: 2(3x - 2y + 5x).

A 16y – 4x B 16y + 4x C -4y + 16x D -4y – 16x E 16x + 4y   [     ]

25. Find the difference between 55% and, the answer being in the percentage.

A 55% B 20% C 45% D 75% E 35%    [     ]

 26. Mary, Deusi and Piala shared 280 notebooks in the following proportions: Deusi received twice as much as Piala and Piala twice as much as Mariam. How many notebooks did Mariam get?

A 40 B 80 C 20 D 200 E 160   [     ]

27. A plot of land is sold for 300,000 shillings. How many shillings will such four plots be sold for?

A 300,000 B 75,000 C 12,000,000 D 1,200,000 E 900,000   [     ]

28. Two drums are sounding after 5 and 6 minutes respectively. If they started sounding together, how long will they sound together for the second time?

A 30 min B 60min C 1hr D 11min E 1hr 30min   [     ]

29. In a certain company, 2 out of 200 chairs manufactured is defective. What percentages of the manufactured chairs are defective?

A 100% B 200% C 198% D 99% E 1%   [     ]

30. Beti’s monthly salary is 800 000 shillings. She spends 240 000 shillings for house rent every month. What fraction of the salary does Beti spend for house rent?

A 3/10 B 1/3 C 8/24 D ¾ E 3/5   [     ]

31. Evana spent 15% of her time in doing cleanliness, 10% for physical exercise, and 20% of her time in studying. If he spent the remaining for travelling, what is this travelling time in decimal?

A 0.45 B 0.5 C 5.5 D 0.55 E 0.2

32. Rashid weighs is 70.5 kilograms and John weighs is 68.15 kilograms. Find the sum of their mass in kilograms.

A 2.35Kg B. 23.5 Kg C 138.65 Kg D 65.138 Kg E 13,800 Gm   [     ]

33. The child weighted 15.75 kg in April. If the child lost 2.5 kg in May of the same year, find the mass of child at the end of May.

A 13.25 Kg B 18.25 Kg C 25. 13 Kg D 25.18 Kg E 1325 Kg   [     ]

34. A land surveyor surveyed 6.0019 hectares of land for road expansion. Approximate this quality to two decimal places.

A 6 B 6.0 C 60.00 D 6.00 E 6.01   [     ]

35. The diameter of the car tire is 63 centimeters. Find the circumference of the tire in centimeters.

A 198 cm B 63cm C 396cm D 1cm E 3.14cm   [     ]

36. Akilimali has square shaped house of length 56 m. Musa has a circular house of diameter 56 m. what is the differences in their perimeter?

A 3 136 B 224 C 672 D 48 E2 464   [     ]

37. The following diagram shows a bookcase. Find its area

A 900cm² B 27 000cm² C 54 000cm²      D 5 400 E 1800cm²    [     ]

38. Find the volume of a cylinder with diameter 20 cm and height is 30 cm. Use ⫪= 3.14

A 600 Cm³ B 942 Cm³ C 9 420 Cm³ D 37 680 Cm³ E 14 130 Cm³    [     ]

39. A pupil drew the following figure and indicate the line of symmetry. How many lines of symmetry did the pupil get?

A 1 B 2 C 3 D 4 E 5    [     ]

40. An Aeroplane arrived at 2105. What are the arrival time in 12 hours?

A 3.05 AM B 9.05 AM C 3.05 PM D 10.05 PM E 9.05 PM     [     ]

B: MATHEMATICAL OPERATIONS, FIGURES AND WORD PROBLEMS.

For each of the questions 41 – 45, use blue or black ink pen to work out the answer.

41. A cylinder pipe is open on both sides. If its height is 500 cm and diameter is 10 cm, find its surface area. (Use ⫪ = 3.14)

42. Three businessmen bought sugar as follows; 9.5 tons, 14.75 tons and 23.015 tons. Find the total amount of sugar bought in tons.

43. Age of Furaha is  of the age of her aunt. If the sum of their age is 54 years, find the age of Furaha.

44. CRDB bank divided the profit to its three customers John, Anna and Suzy. John got 30 000 sh, Anna got 60 000 sh and Suzy got 90 000 sh. If each customer gave  of the profit to the hospital. How much money was sent to the hospital?

45. A pupil divide a right – angle ABC into three angles as shown in the following figure. Find the value of y.

THE UNITED REPUBLIC OF TANZANIA PRESIDENT’S OFFICE REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

UBUNGO MUNICIPAL COUNCIL

WARD MOCK EXAMINATION

MATHEMATICS GRADE SEVEN – MARCH, 2023

TIME: 2 HRS

INSTRUCTIONS

1. This paper consists of forty five (45) questions
2. Answer all the questions
3. Read all the given instructions in each section
4. Write your Name, Examination number and the name of your school in the answer sheet provided
5. Use HB pencil only
6. Cellular phones are not allowed in the examination room

SECTION A: MULTIPLE CHOICE

1. Mika harvested 56 sacks of maize. If he sold all sacks for 140,000 shillings, how much did he sell each sack of maize? (A) sh. 140,000 (B) 25,000 (C) 40,000 (D) 15,000 (E) 78,400 [     ]

2. Write “seven million ninety thousand and eight hundred” in numerals

(A) 79,000,800 (B) 7,009,800 (C) 7,900,800 (D) 7,090,800 (E) 700,900,800 [     ]

3. Class VII at Ndala Primary School has 16 boys and 28 girls. What is the ratio of boys to girls?

(A) 16:28 (B) 28:16 (C) 4:7 (D) 4:11 (E) 11:16 [     ]

4. If Jery ate ⁵/₇ of bread and Tomy ate ¹/₈ of the same bread. What is the fraction of the remaining bread? 

(A) ⁹/₅₆ (B) ³³/₅₆ (C) ¹/₁₃ (D) ²³/₅₆ (E) ¹³/₁₅ [     ]

5. A grade seven pupil was asked by the Mathematics teacher to simplify the following algebraic expression. Which answer did he get?

(A) 4a²b (B) 4a²b² (C) 4a³b² (D) a²b² (E) 4ab² [     ]

6. Ally is in grade five one of his friend asked him to name the figure below. What is the correct name? 

(A) right angle triangle (B) Scalene triangle (C) equilateral triangle (D) Acute triange (E) Isosceles triangle [     ]

7. Calculate the surface area of the cuboid below if its top is opened

(A) 1670m² (B) 217m² (C) 1150m² (D) 2170cm² (E) 1670cm² [     ]

8. The price of a car increased from 3,000,000 shillings to 4,500,000 shillings. Express this increment of the price in percentage.

(A) 33.3% (B) 30% (C) 25% (D) 66.6% (E) 50% [     ]

9. Which figure can be formed after joining the following coordinate points? A (5,3) B (4,5) C (0,3) D (1,1)

(A) rectangular (B) circle (C) square (D) trapezium (E) parallelogram [     ]

10. Which among the following figures is not a quadrilateral figure among the figures named below?

(A) trapezium (B) square (C) triangle (D) parallelogram (E) rectangle [     ]

11. Teacher Ben asked us to calculate the HCD of 56,117 and 6 by using any method, What was the correct answer? 

(A) 9 (B) 1 (C) 13 (D) 11 (E) 17 [     ]

12. Sheila slept too late and wake up at 05:45 hours. Re-write the time in 12 hours.

(A) 5:45 am (B) 5:45 pm (C) 17:45 am (D) 17:45 pm (E) 5:17 hours [     ]

13. What will be the correct answer if your Mathematics teacher gives you to solve this expression. Subtract (x-y) from (x+y). 

(A) -2y (B) +2y (C) 2x (D) 0 (E) 2xy [     ]

14. List all even numbers between 20 and 40 that are divisible by 6

(A) 24, 30, 36 (B) 32, 34, 36 (C) 22, 24, 28, 30 (D) 24, 30, 36, 40 (E) 30,24, 36, 38 [     ]

15. My grandfather harvested 8 watermelons from his farm and decided to give orphans. One day he ate 3¹/₂ and gave 1⁷/₈ to the orphans. What did he remained with him?

(A) 2³/₈ (B) 2 (C) 2⁵/₈ (D) 4⁵/₈ (D) ⁵/₈ [     ]

16. Grade six pupils were given the following series 1, 8, 27, 64, ____. What the given series? 

(A) 81 (B) 101 (C) 125 (D) 119 was the last number from (E) 72 [     ]

17. Calculate the area of a piece of land below

(A) 36m² (B) 112m² (C) 768m² (D) 112m (E) 36m² [     ]

18. Write the coordinate of point X

(A) x (-2,-1) (B) x (0,2) (C) x (2,0) (D) x (2,1) (E) x (-0, +0) [     ]

19. How many lines of symmetry does the following figure have?

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5 [     ]

20. Calculate the capacity in litres that can be filled in the container below (1 Litre – 1000cm³)

(A) 8L (B) 8cm³ (C) 80L (D) 8000L (E) 800cm³ [     ]

21. Change 60% into the simplest form of fraction (^a/_b)

(A) ⁶/₁₀ (B) ³/₂ (C) ⁶/₁₀₀ (D) 1²/₅ (E) ³/₅ [     ]

22. How many ²/₅ litres are there in 10 litres of cooking oil?

(A) 25 (B) 100 (C) 4 (D) 8 (E) ¹/₂₅ [     ]

23. What do you think is the square number of 9 among the following?

(A) 1 (B) 3 (C) 81 (D) 29 (E) 9 [     ]

24. Among the following digits in 345.97, which one is in the tens place value?

(A) 3 (B) 4 (C) 5 (D) 9 (E) 7 [     ]

25. Approximate 608,864 to the nearest thousands.

(A) 609,00 (B) 608,900 (C) 608,860 (D) 618,000 (E) 600,000 [     ]

26. Three farmers shared 80,000 shillings among themselves in a ratio of 2:5:9. How much did the first farmer get? 

(A) 45,000 (B) 5000 (C) 25000 (D) 2000 (E) 10,000 [     ]

27. Six workers harvested 12 hectares in 8 days. If 18 workers more wore added, how many days will they take to harvest the same hectares?

(A) 1 day (B) 3 days (C) 4 days (D) 5 days (E) 2 days [     ]

28. Calculate the value of “y” in the following equation (3y+3)/₃ = 2y-2

(A) ⁵/₂ (B) -3 (C) 3 (D) -5 (E) ⁴/₃ [     ]

29. If a generator has a capacity of holding 80 litres of diesel, 40% of the fuel was used what fraction of the volume of diesel remained in the tank?

(A) 32 (B) 48 (C) ²/₅ (D) ½ (E) ³/₅ [     ]

30. Benard has 24 sweets and Ally has 72 sweets. How many sweets does Benard need from Ally so that they have equal number of sweets?

 (A) 27 (B) 18 (C) 24 (D) 16 (E) 20 [     ]

31. If ⁷/₈ of unknown number is 21, What is ¾ of it?

(A) 24 (B) 18 (C) 12 (D) 28 (E) 14 [     ]

32. Five pupils from grade V yellow where given a question to find the sum of all prime numbers that are found between 12 and 20. What is the correct answer? 

(A) 49 (B) 32 (C) 30 (D) 64 (E) 45 [     ]

33. Re-write 3.0695 to two decimal places. 

(A) 0.36 (B) 3.68 (C) 3.16 (D) 3.07 (E) 3.67 [     ]

34. If a certain number is multiplied by itself the product is 6561. What is the square root of that number? 

(A) 9 (B) 81 (C) 3 (D) 39 (E) 33 [     ]

35. Hadija’s father was born in 1944. What is his year of birth?

(A) MCMXCIV (B) MMXMLV (C) MCMXLIV (D) MCDXLIV (E) MCMXCIX [     ]

36. The average weight of five pupils is 42kg. If the weight of the first four pupils is 54kg, 18kg, 48kg and 60kg. What is the weight of the fifth pupil in grams?

(A) 35000g (B) 30000g (C) 50000kg (C) 40000g (E) 29000g [     ]

37. A class has 50 chairs. If 15 are red in colour, what fraction represent the number of chairs that are not red in colour? (A) ¾ (B) ⁵/₇ (C) ³/₅ (D) ⁷/₁₀ (E) ³/₁₀ [     ]

38. The sum of three consecutive odd numbers is 57. Find the product of the three numbers.

(A) 21 (B) 14 (C) 784 (D) 6873 (E) 6783 [     ]

39. Convert 1¹/₂% into decimal 

(A) 0.015 (B) 1.15 (C) 0.15 (D) 0.05 (E) 1.5 [     ]

40. What is the sum of 12¹/₂ and 3³/₄ 

(A) 15⁴/₆ (B) 16¹/₄ (C) 15¹/₄ (D) 1¹/₄ (E) 13⁴/₆ [     ]

SECTION B: MATHEMATICS OPERATIONS, WORD PROBLEMS AND FIGURES.  

Show a clear solution for each question.

41. The following line graph shows the number of pupils who attended the school from Tuesday to Friday. Calculate the mean of the first three days, then round off the answer to the nearest whole number.

42. If the perimeter of a rectangle below ABCD is said to be 26cm. Then calculate its area in centimetre square.

43. The sum of two interior angles of a quadrilateral is 2x. The other two angles are 70^o and 80^o. What is the value of “X”?

44. One day, Sir Yusuph gave a task to grade seven boys to dig a circular hole figure then after digging a certain height they met a hard rock like that looked in the shaded part in the figure below, find the area of a shaded region in the figure below

45. Study the pie chart below that shows how Mr. Mbwiga spend his monthly salary if he receives Tsh. 720,000 after paying tax; how much does he use on food?