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.

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Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 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

2 / 20

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

-1

None of these

3 / 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?

4 / 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

5 / 20

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

2π

π /2

Non of these

6 / 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)

7 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

8 / 20

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

3/7

1/7

2/7

9 / 20

10 / 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})

11 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

12 / 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

13 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

14 / 20

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

15 / 20

16 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

17 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

18 / 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

19 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

20 / 20

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

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Mathematics Diagnostic Tests

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