Pre Uni College Digital
OPPORTUNITY CLASS TRIAL TEST – Maths
Day 1 School Holiday Year 4
Name:____________________________
Date:_________________________________
INSTRUCTIONS
1 You have 40 minutes to complete the test. It contains 35 questions.
2 With each question there are four possible answers A, B, C or D. For each question You are to choose the ONE answer you think is best. To show your answer, fill the oval for one letter (A, B, C or D).
3 If you decide to change an answer, rub it out completely and mark your new answer clearly.
4 If you want to work anything out you may write on the question booklet.
5 If you need the help of the supervisor during the test, raise your hand.
Q1) Elvin works at a super mart for 6 hours a day. He usually check-in afternoon. One day, he was getting bored and start watching analog clock. He notices that while he was watching watch minute hand travelled 1986 degrees. From what time after his check-in, he started observing clock?
a. 25 min
b. 27 min
c. 32 min
d. 35 min
Q2) Michelle gym is South of her home. Her school is North-West from her home. Her friend’s house is West of her home. At what direction, her friend’s house will be from her school?
a. South
b. West
c. North-East
d. Can’t be determined
Q3) In a bag full of different colour of marbles, chances of picking red colour are half as compared to white colour. Chances of picking white colour is one-third as compared to yellow colour and chances of picking yellow colour is 3/7. What is probability of picking red colour?
a. 1/7
b. 3/14
c. 2/7
d. 1/14
Q4) Solve:
C+C+C = XLV
B+B = XXII
A= X
(A+B+C)2 = ?
a. DCCCXLVI
b. MCCXCVI
c. MCCLXXV
d. DCCCLXXXI
Q5) Liza have 5 more chocolates than Eren. Eren has 7 less chocolates than Tyler and Tyler have 60% of chocolates as compared to Evan. Evan has box of 40 chocolates. How much does Liza have?
a. 22
b. 27
c. 23
d. 31
Q6) Cassie wants to redecorate her room. She is planning put paste anime posters on one wall and wallpaper on adjacent wall along with painting of rest of the walls. Her room dimensions are 10m x 6m x 5m. What is area on which painting will not be done (in m2)?
a. 100
b. 80
c. 50
d. 60
Q7) In a music society, average age of 25% students is 19.6 yr. Average age of 40% students is 20.8 yr. and average age of remaining is 21.2 yr. What is the average age of the music society (in yr.)?
a. 20.64
b. 21.09
c. 19.84
d. 20.82
Q8) In an Environmental Awareness event, 100% attendance was noted. Due to some technical delay, last speaker came late and by that time only 9/13 attendance was at the event. After the last speaker spoke, dinner was started and it was noted at 225 guests had dinner excluding 5 panelists. What is total number of people invited at the same?
a. 333
b. 315
c. 330
d. 286
Q9) TV 22% Newspaper 32% Journals 8% Online 38%
What is percentage of people who prefer journals and newspapers?
a. 42%
b. 40%
c. 32%
d. 30%
Q10) A triangle is inscribed in another triangle. Fraction of their heights is 1/3 and fraction of their base is ½. What is the fraction of their area?
a. 1/16
b. 1/6
c. 1/4
d. 1/2
Q11) How much time will it take for 200m long train passing through a kilometer long tunnel at a speed of 60km/h?
a. 2 mins
b. 5 mins
c. 1 min
d. 8 mins
Q12) Chad bought some 5 dozen oranges for $15 per dozen. He then sold them at $75. What is the profit percentage per dozen in this transaction?
a. 25%
b. 32%
c. 0%
d. 28%
Q13) Solve using BODMAS:
57×48÷8+12 30×71 22×14+28÷2 40+62
a. -1
b. -444/55
c. -1777/221
d. -10429/17
Q14) How much distance can a 200m train cover in 4.5 hours journey when average velocity is 60km/h?
a. 240km
b. 300km
c. 270km
d. 320km
Q15. Charles was trying to find highest common factor of 5,9,15,27. He answered 5. According to you is his right or wrong?
a. Right
b. Wrong and correct answer is 9
c. Wrong and correct answer is 7
d. Wrong and correct answer is 1.
Q16) 320 students who were in school before stream segregation is represented by pentagon. Below shows a Venn diagram on same.
Outside of pentagon means students who joined from other schools. What is number of students who doesn’t leave the school?
a. 320
b. 288
c. 253
d. 301
Q17) Robin gets $1000 as his monthly pocket money. He uses 65% in expenditure, hangouts with friends. Out of rest, he invests 60% and saves rest in saving account. How much does Robin have in saving account after 1 year if bank also gives 2% interest at the end of the year?
a. $1713.6
b. $1680
c. $1400
d. $1586.4
Q18) Jason’s college is having a reunion party at a place that is 60 km away from his house. What is the time in which he travelled to-fro considering his maps app in phone shows 3 heavy traffic area with additional 11-,19- and 27-mins delay in his route to the place? His average speed of his car is 60 km/h in entire journey.
a. 177 mins
b. 3.2 hr
c. 187 mins
d. 3.5 hr
Q19) Milkman before sending milk make sure water is 4/11th part in the milk. He usually sends milk in his locality of 50 houses with demand of 121 liters of milk daily. What is amount of pure milk (in liters) distributed in his locality?
a. 44
b. 111
c. 77
d. 55
Q20) Stella bought 1.5 kg apples, 400 grams pomegranate, 2 kg melon, 200 grams peas and 3 kg sugar. She gave 400 grams apple to a child and head back home. What is total weight she carried back home?
a. 6.9 kg
b. 6600 grams
c. 6.7 kg
d. 6300 grams
Q21) A carriage ship has a loading place of 120m x 80m. Containers of 60m x 4m x 3m are needed to be used for carriage purposes. Maximum height allowed on ship is 6m. What will be net volume of containers can be carried by this carriage ship? (in m3)
a. 62000
b. 51500
c. 68200
d. 57600
Q22) A number 44*68 is divisible by 3 and 7. Which is the number that will replace *?
a. 0 or 3
b. 4 or 5
c. 2 or 5
d. 1 or 7
Q23) On a map scale is based on a ratio of 1:50000000. What will be actual distance covered by ship on sea if it travels 4.5 cm on map?
a. 2050km
b. 2300km
c. 2250km
d. 2000km
Q24) A wheel manufacturing company has many direct expenses such as raw materials, salaries, etc. and indirect expenses such as CSR, marketing, etc. Below is a graph shown along with profit in each quarter in $ million.
Quaterly Distribution of expenses and profit
What is the average direct expense?
a. $55
b. $56.5
c. $57.25
d. $52.5
Q25) If the North is depicted by East and West is depicted by South then, South-East will be depicted by?
a. South-East
b. South-West
c. North-East
d. North-West
Q26) Zendaya sell cupcakes as a hobby from her house. She has 2 types packaging: a 3cupcake box and a 7-cupcake box. She recently got an order from small company, but before that she needs to decide minimum number of cupcakes she can take as an order to use both kind boxes efficiently. What will be that amount?
a. 12
b. 10
c. 15
d. 21
Q27) Lucy have 7 bills of currency $100 and $50 in such a way that total amount she has is $500. How many $50 bills does she have?
a. 2
b. 4
c. 6
d. 3
Q28) Find the value of “?”
X + X = XXV
XVI + XX = XLIV
XXII + XLVII = LXXX
XLII + XI = ?
a. XCI
b. LXV
c. LXXXVI
d. LXXIV
Q29) A train has to travel to location F from A while going through in between stations as given below
What is the average speed of the train if the distance between A and F is 400 km?
a. 88.45 km/h
b. 92.68 km/h
c. 87.21 km/h
d. 92.38 km/h
Q30) Sam tossed a biased coin and roll a die simultaneously. What is probability that he will get heads and 4 on a die?
a. 1/12
b. 1/4
c. 1/2
d. None of the above
Q31) A poll was done in a company of 300 employees after a high workload quarter end for improving work-life balance of employees. It is shown using a venn diagram
What is the percentage of employees who have not taken part in this survey?
a. 72.66%
b. 66.66%
c. 81.66%
d. 84.33%
Q32) Selena was asked to find median of following data: 78,52,14,96,112,36,41,76,59,67,14,99
What will be the value of median?
a. 61
b. 63
c. 59
d. 57
Q33) Ross’s birthday is 6 months after his parent’s anniversary. This year his parent’s anniversary lies on Monday, then at what day will his birthday lies?
a. Sunday
b. Thursday
c. Friday
d. Tuesday
Q34) Polo’s father wanted to teach his son the value of money, so he starts giving him $5 a week as pocket money. Polo like to read comic books and play video games, and there is a new game coming within a month that he really wants to have. But due to his comic books
reading, he only able to save 40% of pocket money every week and that game costs around $22 and he has already saved $8. In how many weeks, he will be able to collect funds for his game?
a. 5
b. 11
c. 7
d. 9
Q35) Solve using BODMAS.
26+4×8÷(3+1) 17×2 18×81÷(3+3) 47
a. 21/19
b. 0
c. 1/6
d. 74