Mock Written Assessment 1 – Secondary 1 Mathematics
Question 1: Written as a product of its prime factors, 56 = 23  7.
(a) Find k such that 56k is both a perfect square and a perfect cube.
Answer: …………………………... [1]
(b) Express 42 as a product of its prime factors. Give your answer in index notation.
Answer: …………………………... [1]
(c) Find the highest common factor of 42 and 56.
Answer: …………………………... [1]
(d) Two alarm clocks are set to ring at intervals of 42 minutes and 56 minutes respectively. If
the alarm clocks ring together at 0830, at what time will they ring together again?
Answer: …………………………... [2]
Question 2: The temperature of a waffle was −6D when it was taken from the freezer. The waffle
was placed in an oven. The temperature rose at a constant rate for 10 minutes. At the end of 10
minutes, the temperature was 18D. Find
(a) the temperature after 5 minutes,
Answer: …………………………... [2]
(b) the number of minutes it took to reach 0D.
Answer: …………………………... [2]
Question 3: The numbers p, q, r and s are represented on the number line.
The values of p, q, r and s are listed below.
1
3
Find p, q, r and s.
33.3%
2
2

4
Answer: …………………………... [2]
…………………………... [2]
…………………………... [2]
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Question 4:
1 3. 6 2 − 4
.
3.5 + 3
Write down the first 5 digits on your calculator display.
(a) Calculate
Answer: …………………………... [1]
(b) Write your answer in part (a) correct to 3 decimal places.
Answer: …………………………... [1]
Question 5:
 5  2   2 
(a) Showing your working clearly, find the value of  − −  −      without using a
 6  3   3 
calculator.
2
Answer: …………………………... [2]
3
(b) (i) Represent the numbers − , 2.7, −3 and 0.5 on a number line.
2
Answer: …………………………... [2]
(ii) Hence, arrange the numbers on part (b)(i) in descending order.
Answer: …………………………... [1]
Question 6:
(a) Express 1386 as a product of its prime factors.
Answer: …………………………... [2]
(b) Find the smallest possible integer k such that 1386 is a perfect cube.
Answer: …………………………... [1]
(c) Find the smallest possible integer k such that
1386
is a perfect square.
k
Answer: …………………………... [1]
Question 7:
(a) Evaluate −52 − [1 − 12  (−2)2 ] + (−1)3. Show your working steps clearly.
Answer: …………………………... [3]
655.998  (8.0498) 2
.
2
Give your answer correct to two decimal places.
(b) Use your calculator to evaluate
Answer: …………………………... [1]
Question 8: 1155 bottles of hand sanitisers, 462 thermometers and 924 packets of masks were
collected in a fund raising for needy families. The items were packed into gift bags for each family.
Each gift bag has the same number of bottles of hand sanitisers, thermometers and packets of
masks.
(a) Find the greatest number of gift bags packed.
Answer: …………………………... [3]
(b) Find the number of bottles of hand sanitisers, thermometers and packets of masks in each
gift bag.
Answer: …………………………... [2]
…………………………... [2]
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Question 9: The number of students in a school is given as 900, correct to the nearest hundred.
Write down the minimum number of students that could be in the school at this time.
Answer: …………………………... [1]
Question 10: Study the set of numbers below.
81
1
3
2
−0.43
−8
0.09
Write down
(a) a negative integer,
Answer: …………………………... [1]
(b) a square number,
Answer: …………………………... [1]
(c) an irrational number.
Answer: …………………………... [1]
Question 11:
(a) By rounding the numbers to whole numbers, estimate the value of
64.432  25.12
.
(19.7) 2
Answer: …………………………... [2]
(b) The school bell of Bedok East School goes off every 35 minutes while the school bell of
Bedok West School goes off every 40 minutes. The first bell of both schools goes off at
0725.
(i)
When is the next time that the bells of both schools go off at the same time?
Answer: …………………………... [2]
(ii)
If Bedok East School has 11 periods including recess on Monday and Bedok West
has 10 periods including recess on Monday, pupil of which school are dismissed
earlier on Monday? How much earlier.
Answer: …………………………... [2]
Extra Practice: Evaluate the following without using a calculator.
(a) (8.25  4  3.3)2  2.5
Answer: …………………………... [3]
(b) 2 − (−3) − 5  5  (10 − 15)
2
Answer: …………………………... [3]
3
2 5 1
(c) 3 + (−2) −  +   1
5
3 6 6
Answer: …………………………... [3]
Extra Practice: The lowest temperature recorded in desert A is −7 C. The difference between the
highest and lowest temperature is 45.9 C.
(a) What is the highest temperature recorded in desert A?
Answer: …………………………... [1]
(b) The lowest temperature recorded in desert B is 6 C less than in desert A. What is the lowest
temperature recorded in desert B?
Answer: …………………………... [1]