Mathematics Diagnostic Tests

The Mathematics Diagnostic Tests by PLS Academy are designed to help students evaluate their preparation for entry tests, FSC exams, ECAT, NUST NET, and NTS exams. These tests cover key topics in algebra, calculus, trigonometry, geometry, and statistics, allowing students to identify strengths, weaknesses, and areas that require improvement. Detailed feedback after each test helps aspirants focus on weak concepts, enhance problem-solving skills, and plan targeted revision. Whether preparing for ECAT, NUST NET, NTS, or FSC Mathematics, these diagnostic tests enable students to track progress, strengthen skills, and optimize their preparation strategy to achieve top scores.

276

Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

2 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

3 / 20

The probability that a leap year selected at random will contain 53 sundays, is:

3/7

1/7

2/7

4 / 20

If (|r|<1) then, (S_n =)

(frac{a_1 (1 – r^n)}{1-r})

(frac{a_1 (r^n – 1)}{1-r})

(frac{a_1 (r^n – 1)}{r-1})

(frac{a_1 (1 – r^n)}{r-1})

5 / 20

6 / 20

For an identity cot⁴+ cot²0 = cosec+0 – cosec⁴0, is:

2π

π /2

Non of these

7 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

8 / 20

If h² and higher powers of ‘h’ are neglected then √1+2h/1-h

1-3/2h

1+3/2h

1-2/3h

1+2/3h

9 / 20

360 students study at a school where 248 students study Turkish, 126 study Arabic, and 18 study neither. How many students study both Arabic and Turkish?

10 / 20

In any triangle ABC, with usual notation, which one of them is not true

∆ = 1/2 ab sinγ

∆ =1/2 bc sinα

∆ =1/2 α sin β γ/sin α

∆2 =s (s a)(s b)(s c)

11 / 20

What will be the volume of parallelepiped represented by the vectors u = 9i – 5j, v = 6i – 7j + k, w = i – k?

12 / 20

47. If the discriminant is negative, then the roots are:

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

13 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

14 / 20

If the line segment obtained by joining any two points of a region lies entirely within the region is called:

Concave

Convex

Both A and B

None

15 / 20

if y=a^x then y_n is equal to (where a>0,xxER)

a^x.Ina

a^nx.lna

a^x(lna)^n

a^nx(lna)^n

16 / 20

The conic ax²+2hxy+by+2gx+2fy+c=0 never represent a circle if:

a ≠ b. h ≠ 0

h ≠ 0

a=b

h = 0

17 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

18 / 20

19 / 20

If A(-1,h), B(3,2) and C(7,3) are collinear, then h =?

-1

None of these

20 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

Your score is

Pos.	Name	Score	Duration
1	Anonymous	100 %	48 seconds
2	Muhammad Awais	100 %	51 seconds
3	Saad Khan	100 %	54 seconds
4	Shaista	100 %	55 seconds
5	osaid	100 %	2 minutes 41 seconds
6	ibraheem	95 %	50 seconds
7	Dawood	95 %	52 seconds
8	NONE	95 %	52 seconds
9	abdullah umar	95 %	56 seconds
10	Saad	95 %	1 minutes 1 seconds
11	abdullah umar	95 %	1 minutes 12 seconds
12	Jawad	95 %	1 minutes 26 seconds
13	NONE\	90 %	51 seconds
14	NONE	90 %	56 seconds
15	Muhammad Awais	90 %	1 minutes 6 seconds
16	12345	90 %	1 minutes 11 seconds
17	Bilal	90 %	1 minutes 30 seconds
18	ibraheem	90 %	1 minutes 34 seconds
19	Taha	90 %	1 minutes 56 seconds
20	urwah	90 %	2 minutes 14 seconds
21	sddc	90 %	2 minutes 32 seconds
22	Ahmed Nafees	90 %	4 minutes 20 seconds
23	Maham	90 %	5 minutes 16 seconds
24	Dawood	85 %	1 minutes 10 seconds
25	Arib	85 %	1 minutes 20 seconds
26	Hello 2	85 %	1 minutes 23 seconds
27	sadi	85 %	1 minutes 47 seconds
28	nelson	85 %	1 minutes 56 seconds
29	Mudasir bangash	85 %	2 minutes 20 seconds
30	Saeed	85 %	2 minutes 46 seconds
31	dawood	80 %	1 minutes
32	RIDWAN	80 %	1 minutes 13 seconds
33	N	80 %	1 minutes 39 seconds
34	Talha	80 %	1 minutes 49 seconds
35	Najeeb Ahmed	80 %	1 minutes 52 seconds
36	Shifa Arif	80 %	1 minutes 57 seconds
37	Saif	75 %	57 seconds
38	urwah	75 %	1 minutes 31 seconds
39	Hi	75 %	1 minutes 37 seconds
40	Ahmad	75 %	1 minutes 38 seconds
41	NOONE	75 %	1 minutes 40 seconds
42	rida	75 %	1 minutes 47 seconds
43	Nimra	75 %	1 minutes 54 seconds
44	Ahmad faiz khan	75 %	2 minutes 21 seconds
45	Muhammmad yahya	75 %	2 minutes 26 seconds
46	ma	75 %	2 minutes 47 seconds
47	JawD	75 %	2 minutes 54 seconds
48	Muhammad Awais	75 %	3 minutes 5 seconds
49	Yasir	75 %	6 minutes 16 seconds
50	raomohib	75 %	31 minutes 2 seconds
51	uzair	75 %	34 minutes 30 seconds
52	Hhh	70 %	1 minutes 37 seconds
53	amna	70 %	1 minutes 41 seconds
54	Haseeb	70 %	1 minutes 50 seconds
55	Abdullah umar	70 %	1 minutes 58 seconds
56	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
57	anand	70 %	3 minutes 5 seconds
58	mm alam	70 %	3 minutes 11 seconds
59	fjwkjsj	70 %	10 minutes 28 seconds
60	Muhammad Maaz khan	70 %	17 minutes 40 seconds
61	Jibrail	65 %	1 minutes 17 seconds
62	Noor	65 %	1 minutes 30 seconds
63	david	65 %	1 minutes 30 seconds
64	Muaz Rana	65 %	1 minutes 53 seconds
65	Adil	65 %	2 minutes 13 seconds
66	Hello	65 %	2 minutes 23 seconds
67	Tanoli Bilal	65 %	2 minutes 28 seconds
68	Abid ur Rahman	65 %	5 minutes 29 seconds
69	Ubaidullah	65 %	7 minutes 13 seconds
70	Azan	60 %	1 minutes 35 seconds
71	R	60 %	1 minutes 42 seconds
72	Haseeb	60 %	2 minutes 13 seconds
73	Sadia	60 %	2 minutes 21 seconds
74	Miqdam Haider	60 %	2 minutes 31 seconds
75	Azwa mudassar	60 %	4 minutes 59 seconds
76	Zainab	60 %	12 minutes 58 seconds
77	Ibraheem	60 %	13 minutes 11 seconds
78	ggg	60 %	18 minutes 13 seconds
79	fatima	60 %	20 minutes 21 seconds
80	Asfg	60 %	22 minutes 59 seconds
81	op bolty	60 %	36 minutes 57 seconds
82	Nimra	60 %	50 minutes 28 seconds
83	Ayla Saeed	60 %	55 minutes 29 seconds
84	satii	60 %	3 hours 32 minutes 6 seconds
85	Ahmad Hassan	55 %	3 minutes 35 seconds
86	Ubaid	55 %	5 minutes 16 seconds
87	Mudasir Jamal	55 %	7 minutes 29 seconds
88	Soem	55 %	8 minutes 46 seconds
89	Muhammad Hamid	55 %	11 minutes 17 seconds
90	Taha	55 %	13 minutes 20 seconds
91	Mee	55 %	17 minutes 49 seconds
92	nemo	55 %	20 minutes 10 seconds
93	None	55 %	25 minutes 16 seconds
94	Maham	55 %	26 minutes 14 seconds
95	Uzair	55 %	28 minutes 36 seconds
96	Abdullah	55 %	41 minutes 29 seconds
97	nelson	55 %	3 hours 35 minutes 50 seconds
98	Noor	50 %	1 minutes 41 seconds
99	Hafsa	50 %	2 minutes 49 seconds
100	Zubaida	50 %	4 minutes 52 seconds
101	Ehsan shah	50 %	5 minutes 6 seconds
102	Safi	50 %	5 minutes 51 seconds
103	As	50 %	6 minutes 17 seconds
104	Sheraz	50 %	6 minutes 24 seconds
105	Iraj	50 %	7 minutes
106	rida	50 %	8 minutes 21 seconds
107	M Miqdam Haider	50 %	8 minutes 36 seconds
108	Mari	50 %	9 minutes 47 seconds
109	sadia	50 %	9 minutes 59 seconds
110	Najeeb Ahmed	50 %	10 minutes 36 seconds
111	Talha Bhatti	50 %	13 minutes 50 seconds
112	osaid	50 %	52 minutes 56 seconds
113	Dawood	45 %	27 seconds
114	GHULAM	45 %	1 minutes 58 seconds
115	Usama	45 %	2 minutes 5 seconds
116	iufudfud	45 %	2 minutes 9 seconds
117	Saif khan	45 %	2 minutes 56 seconds
118	Dileep	45 %	3 minutes 28 seconds
119	amna	45 %	3 minutes 47 seconds
120	..	45 %	4 minutes 20 seconds
121	peaky blinder	45 %	5 minutes 8 seconds
122	Siwiw	45 %	5 minutes 11 seconds
123	Muaz Rana	45 %	6 minutes 14 seconds
124	Muhammmad yahya	45 %	6 minutes 22 seconds
125	Ahmad	45 %	7 minutes 34 seconds
126	Muhammad Ali	45 %	7 minutes 52 seconds
127	Jawad	45 %	8 minutes 33 seconds
128	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
129	hi	45 %	9 minutes 5 seconds
130	Haroon	45 %	14 minutes 19 seconds
131	Raj rathi	45 %	17 minutes 17 seconds
132	anand	45 %	17 minutes 35 seconds
133	Hafeezullah	45 %	21 minutes 49 seconds
134	Adnanh	45 %	59 minutes 58 seconds
135	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
136	Fawad Jillani	40 %	3 minutes 5 seconds
137	Seemab	40 %	3 minutes 48 seconds
138	Haha	40 %	3 minutes 59 seconds
139	Huzaifa ali	40 %	4 minutes 28 seconds
140	Ahmad Ali	40 %	7 minutes 3 seconds
141	MUHAMMAD NOMAN WAJID	40 %	7 minutes 21 seconds
142	Maaz	40 %	7 minutes 52 seconds
143	ma	40 %	8 minutes 32 seconds
144	Kashif Iqbal	40 %	11 minutes 16 seconds
145	anon	40 %	11 minutes 23 seconds
146	Fatima Ajmal	40 %	13 minutes 17 seconds
147	Najeeb Ahmed	40 %	13 minutes 40 seconds
148	jawad ahmed	40 %	13 minutes 50 seconds
149	TOUQEER ABBAS	40 %	14 minutes 22 seconds
150	.	40 %	15 minutes 19 seconds
151	Shifa Arif	40 %	15 minutes 30 seconds
152	rida	40 %	15 minutes 51 seconds
153	fawad	40 %	17 minutes 53 seconds
154	Saeed ullah shah	40 %	19 minutes 42 seconds
155	HIBA	35 %	37 seconds
156	Hamna	35 %	1 minutes 8 seconds
157	Qasim	35 %	1 minutes 31 seconds
158	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
159	Sadam Hussain	35 %	2 minutes 14 seconds
160	Amir	35 %	2 minutes 24 seconds
161	Jibrail	35 %	3 minutes 59 seconds
162	Haseeb	35 %	4 minutes 12 seconds
163	madiha	35 %	4 minutes 28 seconds
164	arhum	35 %	4 minutes 28 seconds
165	arya	35 %	6 minutes 1 seconds
166	Muhammad Awais	35 %	6 minutes 2 seconds
167	maaz	35 %	6 minutes 19 seconds
168	Muhammad Ahmad	35 %	6 minutes 34 seconds
169	m	35 %	6 minutes 49 seconds
170	Furqan Ahmed	35 %	6 minutes 55 seconds
171	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
172	Dawood	35 %	7 minutes 24 seconds
173	Nn	35 %	7 minutes 29 seconds
174	Azwa Mudassar	35 %	9 minutes 36 seconds
175	Wajiha	35 %	10 minutes 19 seconds
176	Ahmed Nafees	35 %	12 minutes 24 seconds
177	Fatima	35 %	12 minutes 38 seconds
178	sunila	35 %	13 minutes 13 seconds
179	Ayesha	35 %	13 minutes 53 seconds
180	Moiz	35 %	14 minutes 59 seconds
181	za	35 %	15 minutes 15 seconds
182	sded	35 %	16 minutes 7 seconds
183	Usman Malik	35 %	17 minutes 9 seconds
184	A.	35 %	17 minutes 33 seconds
185	YaSiR	35 %	24 minutes 13 seconds
186	Talha	35 %	25 minutes 12 seconds
187	eman	30 %	1 minutes 15 seconds
188	tashfeen	30 %	1 minutes 37 seconds
189	M Miqdam Haider	30 %	2 minutes 34 seconds
190	Abdullah umar	30 %	2 minutes 37 seconds
191	Muhammad Abu Zar	30 %	2 minutes 44 seconds
192	Rukhsh	30 %	2 minutes 46 seconds
193	Abdullah	30 %	2 minutes 52 seconds
194	Aniya	30 %	3 minutes 8 seconds
195	Ss	30 %	4 minutes 4 seconds
196	GHULAM JILANI	30 %	4 minutes 17 seconds
197	fiza	30 %	4 minutes 43 seconds
198	Rameez	30 %	4 minutes 44 seconds
199	Sohaib Hafeez	30 %	5 minutes 4 seconds
200	ahmar	30 %	5 minutes 34 seconds
201	Ubaid	30 %	5 minutes 54 seconds
202	Haseeb	30 %	6 minutes 4 seconds
203	Asma	30 %	6 minutes 15 seconds
204	Who cares	30 %	6 minutes 46 seconds
205	Arib	30 %	7 minutes 17 seconds
206	muhammad sohaib	30 %	8 minutes 10 seconds
207	Ahmad faiz khan	30 %	8 minutes 11 seconds
208	nemo	30 %	12 minutes 51 seconds
209	Faiq Waleed	30 %	12 minutes 52 seconds
210	Ismail Ismail	30 %	14 minutes 56 seconds
211	y	30 %	16 minutes 32 seconds
212	Zeeshanjaat	30 %	18 minutes 43 seconds
213	ume ayesha	30 %	22 minutes 30 seconds
214	Ggfgh	30 %	23 minutes 33 seconds
215	PLSBOOST	25 %	33 seconds
216	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
217	anaya noor	25 %	2 minutes 21 seconds
218	H	25 %	2 minutes 38 seconds
219	Dawood	25 %	2 minutes 43 seconds
220	Kashif	25 %	3 minutes 13 seconds
221	my	25 %	4 minutes 15 seconds
222	Iqra	25 %	4 minutes 25 seconds
223	hassan	25 %	4 minutes 30 seconds
224	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
225	Saad Khan	25 %	5 minutes 13 seconds
226	Bial	25 %	5 minutes 24 seconds
227	urwah	25 %	5 minutes 31 seconds
228	Abdullah	25 %	5 minutes 38 seconds
229	Muhammad Moeen	25 %	6 minutes 33 seconds
230	Mari	25 %	6 minutes 54 seconds
231	Muneeb	25 %	7 minutes 9 seconds
232	malika	25 %	7 minutes 25 seconds
233	Sadia	25 %	9 minutes 19 seconds
234	Adil	25 %	10 minutes 5 seconds
235	adnan ashiq	25 %	10 minutes 7 seconds
236	ridwan	25 %	13 minutes 23 seconds
237	T	25 %	18 minutes 27 seconds
238	sadaf	25 %	27 minutes 34 seconds
239	groots	25 %	29 minutes 39 seconds
240	maliksubhan	20 %	1 minutes 30 seconds
241	R	20 %	2 minutes 23 seconds
242	Ayesha	20 %	2 minutes 44 seconds
243	Muhammad Ali	20 %	3 minutes
244	Hasnain	20 %	3 minutes 2 seconds
245	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
246	Noor	20 %	4 minutes 3 seconds
247	Bilal	20 %	5 minutes 7 seconds
248	Hamza	20 %	6 minutes 19 seconds
249	kk	20 %	7 minutes 5 seconds
250	Mahad	20 %	8 minutes 5 seconds
251	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
252	Wilayat Ali	20 %	9 minutes 53 seconds
253	Ubaidullah	20 %	10 minutes 58 seconds
254	Daniyal	20 %	26 minutes 24 seconds
255	anaya noor	15 %	1 minutes 19 seconds
256	Annu	15 %	2 minutes 35 seconds
257	Elsa	15 %	2 minutes 57 seconds
258	R	15 %	2 minutes 58 seconds
259	Bilal	15 %	3 minutes 44 seconds
260	Abdullah abbas	15 %	4 minutes 7 seconds
261	Safi ullah	15 %	5 minutes 22 seconds
262	Sateedan	15 %	7 minutes 9 seconds
263	Abid ur Rahman	15 %	8 minutes 34 seconds
264	Fehria Zainab	15 %	13 minutes 11 seconds
265	Talha	10 %	2 minutes 21 seconds
266	Fatima Navaid	5 %	47 seconds
267	MUHAMMAD ABDULLAH	5 %	51 seconds
268	Amina	5 %	2 minutes 2 seconds
269	anaya noor	5 %	3 minutes
270	Name	5 %	8 minutes 3 seconds
271	abdullah umar	0 %	19 seconds
272	ISRAR ALI	0 %	25 seconds
273	azan ali shah	0 %	27 seconds
274	Mahamfaryad	0 %	54 seconds
275	Alisha noor	0 %	1 minutes 9 seconds
276	Umer	0 %	1 minutes 29 seconds

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